In that period, it was still trying to emulate TOS's style of storytelling. It wasn't until "Measure of a Man" that TNG showed the true extent of its potential.
Potential, yes. Not yet the
realization of it.
Measure of a man, to me, feels like one of those (pseudo-)philosophical episodes that TNG would later become famous for, but made in a time before they found the right touch for such episodes - in my view, it's far too heavy handed, with Riker acting as if he's on a cheap stage, rather than in court, seemingly instructed to make his lines as dramatic as he possibly could. And that's of course if you choose to ignore the logical gaps that makes their conundrum possible in the first place ('if they think such a trial is necessary, shouldn't it have been held before he even entered Starfleet Academy?' , etc).
Back on topic.... I'm not sure my answer to 'favorite moment in Trek
history' would be the same as the answer to 'favorite moment in Trek', if I take the first one to mean that it should be historically significant, and / or it must have actually happened in the past of their timeline, which for example would disqualify episodes such as
the Inner Light, or
Yesterday's Enterprise. In that case, I might choose the first few minutes of DS9's
Sacrifice of Angels , when they they encounter that 1254-strong Dominion fleet, and the tension and dialog on the bridge moments before they go into battle (and those battle sequences themselves also were awesome for the era).