TOS: The Cage (does this count ? If not, The Doomsday Machine) TNG: Yesterday's Enterprise DS9: The Way of the Warrior VOY: Caretaker (seriously, that was a pretty good episode) ENT: Not sure. I have to watch it a second time, first. Movies: TWOK
TOS: The City on the Edge of Forever TNG: tie between First Contact and The Inner Light DS9: Call to Arms (or the whole occupation arc if you can count that as an episode) VOY: Year of Hell ENT: Carbon Creek Of course this all changes depending on my mood.
TOS: The City on the Edge of Forever TAS: Yesteryear TNG: The Best of Both Worlds and Yesterdays Enterprise DS9: In the Pale Moonlight and The Visitor VOY: Living Witness and Timeless ENT: Twilight
These are my favourites today, however like Third Nacelle these change frequently depending on my mood. TOS: Errand of Mercy TAS: Beyond the Farthest Star TNG: The Defector DS9: The Visitor VOY: Blink of an Eye ENT: Cogenitor
TOS: A Taste of Armageddon TNG: Where No One Has Gone Before DS9: In the Pale Moonlight VOY: The Thaw ENT: Strange New World Movies: The Motion Picture
Belz..., there's a lot more love for TMP than some of the very vocal detractors within Trek fandom may have you believe. Yep, chalk me up as another who rates it at the top. As for the shows, definitively declaring absolute favourites is waaay too difficult a task for me. There's just so many, and the "leader board" is in a constant state of metamorphosis!
I'm a huge fan of TMP, myself. It's my second-favourite Trek movie and one of my all-time favourite sci-fi movies.
The Doomsday Machine Yesteryear The Offspring Far Beyond the Stars Real Life Horizon The Wrath of Khan The post-TOS favorites fluctuate, so this is just what they are today. TDM has been my favorite TOS episode for decades; City is second place. TWOK has been my favorite Trek film since I saw it. As for ENT, I went with Horizon, rather than In a Mirror, Darkly, because Horizon is my favorite Prime Universe episode of ENT; it's really IAMD for ENT, though.
TOS: Balance of Terror TNG: Tapestry DS9: Duet VOY: Living Witness ENT: Borderland/Cold Station 12/The Augments