Star Trek Virgin

[TGLS]

One point regarding season two of TNG: If nothing else, watch "Q Who". It is a landmark episode which sets up the acclaimed, and pivotal, Best of Both Worlds two-parter.

"Skin of Evil" in season one might be worth sitting through too, in my opinion, if only to more fully appreciate the context of "Yesterday's Enterprise".

I'd add "The Measure of a Man" too.

Honestly, if you're going to include "Skin of Evil" for context, I'd have you watch all this:
Encounter at Farpoint
Where No One Has Gone Before
The Big Goodbye
Datalore
11001001
Skin of Evil
Conspiracy
Where Silence Has Lease
Elementary, Dear Data
The Measure of a Man
Pen Pals
Samaritan Snare
The Emissary
Q Who [This one was moved.]

Nothing too rancid, but not just 2 episodes either.

[The Romulan Republic]

Oh yeah, Measure of a Man is generally on the "good episodes" list.

[BunBun299]

Measure of a Man has one of the best arguments about artificial life I've ever seen.

I think TGLS put together a pretty good list of season 1 and 2 episodes of TNG worth watching. So start there. And when you finish those, just watch from season 3 on.

DS9 is all worth watching. There's a few bad episodes, but even in those, I usually find at least a few things I enjoy. Like Quark's begging not to sacrifice anyone in Move Along Home. And in the same episode, the subversion of the usual trope, this is not a deadly game. Still a bad episode, but little things like that make me like it just the same.

[Independent George]

I know I'm in the minority, but I didn't think Measure of a Man was all that good - compared to the rest of early TNG, sure, but it felt forced to me. Part of it was due to the 'trial' format (which was big on scene-chewing speechifying), but the overall effect was that this was A Very Special Episode about Data. It stands out against the early TNG backdrop because there was genuine conflict & drama, and was a dedicated character study as opposed to a chance to show off how perfect the Federation was. It still felt clunky to me - it added nothing which hadn't already been handled far more deftly by Asimov.