As for human slavery, I don't know if self-conscious, sentient robots would be such a threat to humans. If not programmed with some sort of ethical program, probably. But with the proper program, I'd honestly be more worried about humans treating androids/robots as mere slaves than the reverse situation. One of my fav TNG episode is The Measure of a Man because it tackles so many topics, like personhood, conscience, robots rights...If androids like Data existed in real life, my nights would stay sleepless just thinking about the awful treatments they'd certainly face : forced prostitution, slavery, destruction when they'd be not productive enough...The thought itself is sickening...
Anyway, so far I'd say my fav androids/robots are :
1) Data, of course ! I mean...look at my avatar and signature XD
2) Andrew from Asimov's Bicentennial Man : I watched the movie as a child and I think it's what sparkled my love for robots ! Andrew is a lot like Data, as he wants to reach personhood and be more human.
3) Chii and Freya from the manga Chobits : basically the two sides of the same coin, they are domestic androids from a dystopian modern era in which PersoCom have become a must-have for most people. They're different to Data in the way they are built with programs to simulate emotions.
4) Elvex from Asimov's Robot Dreams : built by an unexperienced cybernticist, he has the abnormal ability to dream...
5) The Puppet Master from Ghost in the Shell : who doesn't love a self-conscious AI with plans for its counterparts ?
6) Joi in Blade Runner 2049 : actually an AI and not a robot, yet she struggles with the desire to be more human, like Data and Andrew.
7)Wall-E and Eve...because CUTENESS !!!
8) R2-D2 and Threepio, because childhood memories !