The "Tom Baker era" is the best. Want to know why? Here's the answer: Because even the weaker stories have something memorable and noteworthy about them. Hardly the case with the other Doctors(especially the ones that came after him). I will play this game though. The story I choose to save from the remaining list is "The Robots Of Death".
List as of now:
Robot
The Sontaran Experiment
Revenge of the Cybermen
The Seeds of Doom
The Masque of Mandragora
The Hand of Fear
The Face of Evil
The Invisible Enemy
Image of the Fendahl
The Sun Makers
Underworld
The Ribos Operation
The Pirate Planet
The Stones of Blood
The Power of Kroll
The Armageddon Factor
Destiny of the Daleks
The Creature from the Pit
Nightmare of Eden
The Horns of Nimon
The Leisure Hive
Meglos
Full Circle
State of Decay
Warriors' Gate
The Keeper of Traken
Logopolis