The categories:
1.)Spacial Anomaly (hole is space, Dyson’s spear, etc…)
2.) Character development (Data gets a girlfriend, Picard’s various GFs, Barclay and his phobias, etc…)
3.) Q (self explanatory)
4.) Klingons
5.) Borg
6.) Alien of the week
7.) Holodeck malfunction
8.) Time travel
9.) Something else
I realize there is a lot of overlap in the categories.
I voted “something else” - “visit to humanoid planet that’s a thinly papered-over allegory for some current political/social issue” I love their damn earnestness.
I like the space battles.
The time travel episodes are always the best.
I picked Q episodes. But I like one Voyager time travel 2-parter because they hung out with Sarah Silverman.
I like the Borg episodes. They are just so uber freaky. I still want to know about the Borg baby Seven found when they came upon the Borg kids in a Voyager episode.
I’m surprised “time travel” is a front runner so far. People on this board often complain about the TT episodes. (I’ve always liked them. except for the 7 of 9 one)
I went with “Spacial Anomaly” (spatial?). “Alien of the Week” would work as well. I’m interested in the exploring and discovering, I don’t really care that much about the rest of it.
I can’t believe I flubbed that up. :o
I went with “Klingons”, with the understanding that that same category also applies to other recurring villainous alien races like the Romulans and Cardassians.
Come on guys… No love for Holodeck malfunctions? 
I picked Spacial Anomaly. What I really like is when there’s a problem, and they apply Treknobabble™ to their existing systems, modifying them on the fly, and address the problem, and fly away. Its best if they can do it without hand-holding, hand wringing, tearful growth.
Come to think of it, I like some character development, but only if:
Worf learns how to be a Real™ Klingon, while still addressing a thorny subject outside of the Real Klingon idiom.
or
Quark learns how to channel his Ferengi greed for the greater good and greed of all people. I seem to recall him criticizing Brunt when he connived to become Nagus – but I can only paraphrase:
Ishka: Well, Brunt will be a great Nagus, he’ll bring down the Ferengi Alliance, just to enrich himself, just like a Ferengi ought to.
Quark: No Mom. A Nagus is supposed to be bigger than that. A Nagus’s greed is supposed transcend his own for the greater greed of the entire alliance.
Iska should have said, “You’ve spent too much time around hoo-mans, Quark”
I just don’t care much for Data gets a girlfriend or Picard drinks wine and calls his older brother a bully or Riker fights his father, and finds out his father cheats to beat him.
I picked Alien of the Week, which I take to mean “visit to humanoid planet that’s a thinly papered-over allegory for some current political/social issue”. Episodes in this category run the gamut from Errand of Mercy to Spock’s Brain, from Encounter at Farpoint to arguably The Inner Light.
Second would be character development episodes like Court Martial or Data’s Day, or, arguably, The Inner Light.
I enjoyed the few times that they used that plot device in TNG, mostly because the holodecks were a new idea in that series. IMO they used the holodeck way too much by the time they got to Voyager.
I mostly liked the episodes that were different from the standard monster of the week. Episodes that I liked (all TNG):
I also like it when they show Starfleet doing military stuff, less so when they try to pretend it’s not a military.
I was wondering which episode that was, until I figured it out. I think someone should write an episode called “Dyson’s Spear”, though. It could be a cool wormhole or weapon or something. Maybe even a bar. Nah, a bar would be “Dyson’s Beer”, wouldn’t it?
They could walk through walls, but didn’t sink through the floor. :dubious:
Some time travel episodes fellated with great allacrity, and there were too many of them, although many people and I regard The City on the Edge of Forever was the best Trek episode.
There was a Trek book concerning a Dyson Sphere, but I have the impression that it was a science fiction story a guy changed to a Star Trek setting to be able to be published.
OP: Where does The Wrath of Kahn fall in your definitions?
You forgot clip show!
Shades of Grey
Or eps where Tasha Yar dies
Skin of Evil
Yesterday’s Enterprise (I figure it’s kind of by implication, but yeah, she’s toast)
Or eps with Dinosaurs! On a SPACE SHIP!
Distant Origins (with special appearance by Matt Smith)