I have to say that I’m not a die hard Star Tek fan. I spent most of my childhood resisting it. My family all used to sit and watch ST:TNG together, except for me. I got turned onto ST during the 25th anniversary all day marathon on tv. I kinda liked the originals and my mom let my sister and stay up until midnight in order to see Trouble with the Tribbles. That is my favorite episode, though several others are fascinating, cheesy effects aside. I also loved DS9: Troubles and Tribblations where Commander Sisco and Lt. Dax go back in time to the event in Trouble With the Tribbles. The producers did a fabulous job of splicing the two of them into shots with the original actors. And was absolutely hysterical.
I enjoy many episodes of the various series, but I’m more of a Babylon 5 and Firefly fan.