Star Trek TNG was one of my staple TV shows growing up (probably second behind Married With Children) and I was completely hooked on that show. Luckily, I can catch reruns on Spike TV (and there's another station that plays it that I can't remember). The shows were pretty philosophical and intelligent for that time and made an impression on me (unfortunately not as much as Married With Children did because I'm more of a crass chauvinist than a thinker). My favorite episodes were the ones that involved Q (those seemed to be higher budget), Guinan (those definitely *were* higher budger because Whoopi Goldberg was actually a bigger star than the rest of the cast at the time. I also enjoyed the Ashley Judd/Robin Lefler episode(s). Boy she was hot back then! Remember Lefler's Laws? Like a wanna-be Murphy's Law. I also enjoyed the mysterious space anomaly/temporal rift type episodes like the one where they're caught in a temporal loop and playing poker and keep getting blown up over and over until the very end (don't use the tractor beam, decompress the main shuttle bays!) Other episodes that were good were the ones involving big battles. Ones that come to mind: Redemption two parter, and all the Borg episodes (excluding the Hugh one although that was also good).
Oh and who can forget "Darmok and Jalad, at Tanagra!"? LOL I can't believe I remember this stuff.