I'm playing a salvaged B1 battle droid who had most of his shoddy processors replaced with high-end astromech parts by an Outlaw tech who wanted to create a ship's mechanic that could give the impression of being muscle. Having been stolen by the player party B1T2 (Bitz) now sits around telling these youngsters war stories about how he and his brethren bravely sacrificed themselves trying to liberate the galaxy from the Jedi menace. When we go into civilized space Bitz clambers into a opaque helmeted space suit and lumbers around hoping people will assume he's a Kel Dor or Gank rather than an illegal droid in disguise.
System-wise, whilst the droid's low starting stats are painful, I think they make sense for beings that are initially created for a single purpose and are thus likely to be excellent specialists with some nice characterful deficiencies. Once you get some cash in hand then Cybernetics make a big difference since you can have lots of them and unlike most organics you're not going to have qualms about lopping off a limb to replace it with something superior.
From a roleplaying point of view droids have lots of interesting areas to play with in every campaign: perceptions of organic life, how you relate to other droids that may lack your sentience, the prospect of immortality and the threat of obsolescence, and of course the mystery of the Force .