The OP specifically asked for 35mm SLRs: "So let's start a beauty contest poll - who gets your vote for the nicest-looking 35mm SLR ever made?" However, there are lots of cameras named here that do not meet this description at all!
Some of those oldies are real beauties. I'd have to say my 'prettiest' 35mm camera is the SRT202, followed by the XD11, Canon New F1 and Nikon F4. (I am also especially fond of the Minolta Freedom Zoom 140EX, but that's my dirty little secret.)
Right now in Spain they're holding the Running of the Bulls,
followed by the Soiling of the Pants,
and the Burying of the Idiots.