Here is a list of episodes that had alternate choices the players could take:
The Pendant of Kamehameha - When Tina spins the sundial in the Observatory, the door from the Wall Climb opens. Had the team went directly to this room, then it would've been a successful solo run.
The Stolen Arm of Shiva - In the Observatory when the second runner spins the sundial, you will notice the bar leading to the Trouble Bridge opens, indicating they could've avoided the entire central shaft.
The Silver Saddle Horn of Hannibal - Its very much likely that the Troubled Bridge would've opened in this run, indicated by the fact that the frontrunner was able to enter all the rooms on the top floor. Had she stayed on the bottom the entire time, this would've been successful.
Pecos Bill's Lost Lariat - When Colleen spins the celestial lights, you will notice that the Treasure Room directly opens and that she could've avoided the Heart Room guard.
King Tut's Cobra Staff - Considering that Eusinia was able to retreat back to the Wheel Room from the Throne Room, I guarantee that this team would've been able to start in the Wheel Room also.
The Electrified Key of Benjamin Franklin - Peter could've avoided Medusa's Lair temple guard easily if he went into the Observatory.
The Snow Cone of Mount Kilimanjaro - I don't really remember because I hate this run, but I am pretty sure that the King's Storeroom opened from the Pit of the Pendulum.
The Broken Trident of Poseidon - When Kimberly knocks the stone column down in the Pit, you will notice the King's Storeroom door opens at the top of the central shaft. Its very likely that if she went to the top of the central shaft, that is the location of the temple guards she never encounters.
There are probably a bunch of episodes I am overlooking too.