Cui is my favorite minion.

Wasn't he also Vegeta's rival of sorts? He was a pretty powerful guy, if he was constantly competing with Vegeta! I really dig his personality, and I think he gets more of it developed, as this arrogant, snarky, makes-his-own-way kinda guy, than any of Freeza's other minions, excepting perhaps Zarbon. Also I've always loved, in the Anime, how Cui gets this strange foreshadowing as being one of Freeza's real bad ass minions. So yeah. I like Cui.
Personally, on the subject of minions, my biggest issue with the second major saga (Androids/Cell) is the lack of minions. I think when utilized the way Eiichiro Oda does (with One Piece), so that every character gets a battle to shine in nearly every major arc, is the true and best use of minions. Perhaps it gets predictable and contrived after awhile, but I'd rather have that (which, let's be honest, DBZ became because the opposite was true - one, ultimate bad ass who works alone and wants to kill everyone), than seeing all my favorite side characters slowly drop away.
For example, I've always thought Cell could have benefited from his Piccolo genetics and spat out some eggs, giving him Demon Cell children. This, in my opinion, would've made The Cell Games feel a lot more like a tournament. And it would've given characters like Kuririn and Tenshinhan more to do during the (in my opinion) boring snag in story, when Vegeta and Trunks
just fight Cell for howevermanyfreakingepisodes.
As for Buu, since he's a rampaging monster, doesn't really work to have minions. But more focus on that beginning section with Babidi, and perhaps more minions of his own for more of the fighters to have to deal with, with different minions attacking different areas of the Earth for energy, would've made better use out of what was already infinitely better than the entire saga before it.
So in short, I love minions, because they're a great excuse for a side character to have an epic battle.