There was the ability to do unit customization (which actually could get a bit overwhelming to teenage me), which came from other 4X gamee set in space I guess.
Another thing is that Civ 1/2 didn't really have very strong differences between nations gameplay wise (if you played as them, enemy AI is a different story). That really started with Alpha Centauri and its ideological factions being partially represented by their gameplay strengths and weaknesses. The way it balances an implied a grander sci-fi narrative through these ideological factions and quotes from their leaders on the one hand, and gameplay mechanics affecting how these factions evolve with the development of new technologies on the other was novel and hasn't really been equalled since imo.
I didn't play civ2, but what fresh ideas did alpha centauri bring?