Episodes with similarities

[The Red Jaguars]

Stupid Trojan Horseshoe! 

j/k, I  like that temple win but man is it one of the most forgettable wins on the show. Here are a couple of more similarities by the way:

The Silver Saddle Horn of Hannibal
The Golden Stallion of Ali Baba
- Both episodes featured an artifact in the Shrine.
- Both artifacts were made of a precious metal.
- Both episodes were the second to last episode on their filming day.
- During the temple run, both frontrunners went up the central shaft instead of the Swamp, which screwed the team's chance over at winning.
- Both runs ended in the rooms with the golden doors.

The Priceless Portrait of the Polynesian Girl
The Missing Portrait of Hans Holbein
- Both episodes featured a portrait of some sort.
- Both artifacts were located in the central shaft.
- Both teams beat the Purple Parrots in the temple games.
- Both episodes had a temple game where the player is strapped into the rotating beam game.
- Both frontrunners ran into a temple guard in the Crypt.
- Both teams encountered all three temple guards.

[The Red Jaguars]

Here are some more episode similarities that popped up in my mind:

The Helmet of Genghis Khan
The Helmet of Joan of Arc
- Both episodes featured a Helmet as an artifact.
- Both teams featured the Red Jaguars going to the temple.
- Both Red Jaguar teams won two pendants in the temple games.
- Both teams beat the Blue Barracudas in the temple games.
- Both frontrunners ran into a deadend in the entrance room they first entered, also encountering a temple guard in that deadend space too.

The Dried-Apple Half of William Tell
The Bullet-Riddled Handbag of Belle Boyd
- Both artifacts were located in the Room of the Ancient Warrior.
- Both episodes featured the Green Monkeys going to the temple.
- Both Green Monkey teams won two pendants in the temple games.
- Both girls that went to the temple had a name starting with an "L".
- Both teams had to start at the very top of the central shaft and then descend down it.

[The Red Jaguars]

Just to bring this topic back up:

The Secret Map of the Bandit Queen
The Metal Beard of the Egyptian Queen
- Both episodes have "Queen" in their titles
- Both episodes featured an artifact in the Shrine
- Both teams finished  first in the Steps
- Both episodes had the winning temple team win one pendant
- Both teams met a temple guard at the bottom of the central shaft and Dark Forest
- Both teams took the exact same path en route to the artifact
- Both teams brought their respective artifacts out of the temple for a win

Lawrence of Arabia's Headdress
The Mussel-Shell Armor of Apanuugpak
- Both episodes featured the Green Monkeys making it to the temple
- Both Green Monkey teams were second in the Steps
- Both episodes had the Green Monkeys beating the Red Jaguars in the temple games
- Both teams won two pendants in the temple games
- Both episodes resulted in a win where all three temple guards are encountered
- Both temple runs featured a girl going in first and moving at an average pace
- Both temple runs featured the male player going in second and scoring a win for the team
- Both runs feautred one of two times where the an artifact is brought out of their respective room spaces

The Royal Torque of Queen Boadicea
The Good-Luck Watch of Empress Eugenie
- Both legends deal with a woman of prestige status (A "Queen" and an "Empress")
- Both artifacts were located in the Tomb of the Headless Kings
- Both episodes were second in their production day and suceeded an episode that was a win for their respective color ("The Ivory Hunting Horn of Roland"and "The Jeweled Scabbard of Sforza" respectively)
- Both artifacts were a piece of jewelry that was worn around the neck by their respective owners
- Both episodes featured the Green Monkeys in the temple games
- Both temple teams swept the the temple games with two pendants
- Both episodes featured the temple girl going in first and making a mistake that ruins the team's chance at a win
- Both male runners go in second and retrieve their respective artifacts
- Both runs feature the two instances where a bottom of a central shaft artifact is retrieved in season three

[Purple Parrots Fan]

I think you meant to put "Metal Beard" in purple text, not orange. And the Purple Parrots from Metal Beard were 3rd in the moat, not 4th. And the paths for "Royal Torque" and "Good Luck Watch" were not identical at all. Janeen went straight into the King's Storeroom. Lissy was forced into the Chamber, then King's Storeroom.

Another thing to add to "Royal Torque" and "Good Luck Watch" is that they were both second in their filming day. Plus, both had the same team colors going to the temple in the episode before them. Meaning, Red had a temple appearance ("Roland") before "Royal Torque." And Green had a temple appearance ("Sforza") before "Good Luck Watch." And both runs before them were wins too.

[The Red Jaguars]

Dang, I didn't realize there were so many similarities between "Queen Boadicea" and "Empress Eugenie". I fixed the mistake about the team's having identical paths and included the detail about the same production days and wins before their respective runs. 

[The Red Jaguars]

Here are some more that came to mindut of boredom:

The Paintbrush of Leonardo Da Vinci
The Missing Eye of David
- Both episodes dealt with a famous artist.
- Both artifacts were located in the second to last column to the left of the temple (The Paintbrush was in the Tomb of the Ancient Kings and the Missing Eye was in the Shrine.)
- Both episodes featured a rare occurrence where there was a four-way tie on the second to last step.
- Both episodes featured the Blue Barracudas losing to the temple team.
- Both teams traversed almost the same exact rooms (Swamp, entire central shaft, and the top entrance room for both runs. The "Leonardo Da Vinci" kids entered the bottom entrance room too though.)
- Both temple runs ended in the Swamp.

The Red Sash of Tokugawa Ieyasu
The Royal Torque of Queen Boadicea
- Both legends dealt with a type of ruler.
- Both artifacts were a prized possession that worn by each historic figure.
- Both artifacts were located in the Tomb of the Headless Kings.
- Both epiodes featured the Red Jaguars in the temple games.
- Both teams went to the temple with two pendants.
- Both temple runs featured each team encountering all three temple guards.
- It was the middle painting that opened the door to the Tomb in both runs.

[Purple Parrots Fan]

The Paintbrush of Leonardo Da Vinci
The Missing Eye of David

- Both teams went to the temple with 1.5 pendants.

No. The Paintbrush of Leonardo Da Vinci team won 2 pendants in the temple games.

[The Red Jaguars]

I fixed the "Leonardo Da Vinci" mistake that you pointed out. I guess that I got it mixed up with "Stone Marker". 

Here are some more comparisons while I am at it:

The Imperial Purple Robe of Empress Theodora
The Good-Luck Watch of Empress Eugenie
- Both episodes dealt with an "Empress".
- Both artifacts dealt with an expensive piece of clothing related to each Empress.
- Both episodes were Green Monkey temple appearances.
- Both Green Monkey teams won two pendants in the temple games.
- Both Green Monkey male contestants had a "J" at the beginning of their names.
- Both frontrunner females were taken out in the Shrine.
- Both of the temple runs ended while the second runner was in the room of the artifact.

The Mysterious Manuscript of Mary Shelley
The Dried Apple Half of William Tell
- Both episodes were produced on the same production day.
- Both episodes use the EXACT same temple games in sequence.
- Both episodes feature the Silver Snakes losing in the temple games.
- Both episodes feature the final temple score being 2-0.5, with the tied game coming from the first individual temple game in each episode.
- Both temple teams had a contestant whose name started with an "L".
- Both teams only entered six rooms of the temple, with the secondrunner in each not making any progress.

[PurpleParrot4Life]

Sorry for bumping this topic, but there is another similarity that I thought should be mentioned: War Fan of the Forty-Seven Ronin and Thornwood Gavel of Judge Roy Bean. They were both Season Three episodes. The frontrunners in both episodes were male. They took the same exact path, with the second guard appearing in the Room of the Secret Password. In both episodes, the first headdress in the Room of the Ancient Warriors activated the door to the Shrine of the Silver Monkey. Also, both had female second runners who got unnecessarily slowed down en route to where their partner was taken out: Elise had the issue with the door malfunction in the Tomb of the Headless Kings, while Kelly detoured to the King's Storeroom.

[PurpleParrot4Life]

Another similarity is between "The War Fan of the Forty-Seven Ronin" and "The Comet-Embroidered Battle Flag of William the Conqueror." Both episodes were Season Three episodes. More importantly, both featured the door from the Pit to the Tomb of the Headless Kings getting stuck shut. Even though it did not impede their run, it did in fact happen when Jonathan ran through the Tomb of the Headless Kings (he pushed the door out of the way as he ran past, and there was enough momentum for the door to swing open and back, and then get stuck closed.

Also, a pretty obvious similarity is between "The Mussel Shell Armor of Apanupac" and "The Comet-Embroidered Battle Flag of William the Conqueror." They both featured the Green Monkeys running in the temple, attempting to reach the Chamber of the Sacred Markers in the Season Three Layout. They shared the same path. And, what I find most hilarious, is that in both episodes, when the door from the Room of the Ancient Warriors to the Chamber of the Sacred Markers opens, Kirk incorrectly says, "He's heading up to the King's Storeroom!"

[The Red Jaguars]

I went ahead and placed your comparisons in a list format, and also added some other similarities.

The Comet-Embroidered Battle Flag of William the Conqueror
The War Fan of the 47 Ronin
- Both episodes were produced on the same production day.
- Both episodes featured the Red Jaguars losing in the temple games.
- Both episodes were associated with fighting ("War" Fan and "Battle" Flag).
- Both male temple teams had a name starting with a "J".
- Both times the Tomb of the Headless Kings door got shut in the temple run.

The Comet-Embroidered Battle Flag of William the Conqueror
The Mussel-Shell Armor of Apanuugpak
- Both episodes were Green Monkey temple runs.
- Both artifacts were located in the Chamber of the Sacred Marker.
- Both times the Red Jaguars were beat in the temple games by the Green Monkeys.
- Both teams won two pendants in the temple games.
- Both female frontrunners were taken out on the bottom floor.
- Both male contestants took the exact same path and met a final temple guard on the top floor.
- Both artifacts were grabbed during the run.
- Kirk exclaims "He's heading up to the King's Storeroom!" in both runs.

[Purple Parrots Fan]

The Comet-Embroidered Battle Flag of William the Conqueror
The War Fan of the 47 Ronin
- Both frontrunner males had a name starting with a "J".

Jonathan was not a frontrunner. He went in second.

The Comet-Embroidered Battle Flag of William the Conqueror
The Mussel-Shell Armor of Apanuugpak
- Both frontrunners encountered a guard in the Crypt and were taken out on the bottom floor.

Amanda did not meet a temple guard in the Crypt. She met one in the Tomb, and was taken out in the Dark Forest.

EDIT: And here are the War Fan and Thornwood Gavel similarities that PP4L pointed out. In list format:

The War Fan of the 47 Ronin
The Thornwood Gavel of Judge Roy Bean
- Both were Season 3 episodes.
- Both frontrunners were male.
- Both had the exact same path taken, with second guard appearing in the Room of the Secret Password.
- Both frontrunners were removed from the temple with over a minute left on the clock.
- The first Ancient Warrior headdress activated door in the Shrine.
- Both second runners got caught up in a detour/slow down of some sort.

[The Red Jaguars]

And some more:

The Keys to the Alhambra
The Electrified Key of Benjamin Franklin
- Both artifacts dealt with a "Key" as an artifact.
- Both teams tied another team at the moat and both teams finished first at the Steps.
- Both teams won one pendant in the temple games.
- Both teams got to the temple due to the other team answering the tiebreaker question wrong.
- Both frontrunner males only lasted five rooms into the temple.

The Bone Necklace of the Blackfeet Chief
The Jeweled Necklace of Montezuma
- Both episodes featured a "Necklace" as an artifact.
- Both artifacts were located in the King's Storeroom.
- Both episodes had the Red Jaguars in the temple games.
- Both teams won two pendants in the temple games.
- Both teams encountered a temple spirit in the Dark Forest.
- Both female players screwed-up the chance at a win for the teams.

[The Red Jaguars]

I am going bump this up and add more similarities.

John Henry's Lost Hammer
John Sutter and the Map to the Lost Gold Mine
- Both episodes were produced on the same day
- Both episodes had an historical figure whose first name was "John"
- Both episodes have "Lost" in the episode title
- Both temple game teams featured the Silver Snakes
- Both temple teams won two pendants in the temple games
- Both teams shared 2/3 temple guard locations (Cave of Sighs and Throne Room)

The Mush Pot Hat of Johnny Appleseed
The Two-Cornered Hat of Napoleon
- Both episodes featured a "Hat" as an artifact
- Both male frontrunners encountered a guard in the Crypt and were taken out 4 rooms into the temple
- Both temple games featured the Orange Iguanas
- Both female second runners took the Mine Shaft elevator
- Both female second runners grabbed their respective artifacts but failed to bing them out

[The Silver Monkey]

*bump*

The Lily Crested Crown of Clovis I
The Melted Head of Madame Tussaud

• Both episodes were Orange Iguanas runs (obviously ).
• Both episodes saw the Purple Parrots lose the temple games.
• Both artifacts were in the Quicksand Bog.
• Both legends took place in France.
• Both runs ended in the Shrine.
• Both frontrunners encountered their first guard in the Chamber.
• Both backrunners have names that start with "J".
• The solo temple games in both episodes featured a boy against a girl.
• Both episodes are from Season 3.

The Lion Slashed Jacket of Sacagawea
The Lion Headed Bracelet of Chandragupta

• Both episodes have "Lion" in the title.
• Both episodes were Green Monkey runs.
• Both episodes were filmed the same day, and back-to-back at that.
• Both frontrunners were female.
• Both teams won 1.5 pendants.
• Both episodes are from Season 3.
• The Silver Snakes finished first in the moat in both episodes.