My favorite style is definitely from Rayman 3. Rayman's more radical, "teen" style is just a lot more interesting to me. It isn't just my favorite looking Rayman though, his personality in Rayman 3 was my favorite, since Rayman wasn't necessarily a mute but he remained mostly quiet and let his fists do most the talking. In Rayman 2, Rayman talks a lot, making him feel, for lack of a better word, inexperienced.
I also liked the touch of emotion between Rayman and Globox's relationship in Rayman 3 because it shows how dedicated of a friend Rayman could be. In Rayman 2, Globox didn't really feel like Rayman's "Best" friend, but more of a side character (In fact, Ly and Clark felt like closer friends). In Rayman 3, even though Rayman doesn't really seem to react to Globox's commentary, Rayman still cared about him, like how he panicked when he thought Globox crashed, or when he comforted Globox at the end of the game without reminding him how evil Andre really was. Hell, half the game is just escorting him to the doctors!
Also, Rayman's color scheme in Rayman 3 is basically the same as in Rayman 1 (which I like), where in Rayman 2 his color scheme was different, with yellow-ish skin, orange hair strands, a really muffled purple for his body and just overall darker, though that can be said for the entire game I guess lol.
Also, quick question, is it ever confirmed wither or not Rayman's body is actually purple or a skinned torso with purple clothing? I feel like the way Rayman's torso ring thing interacted with a lot of things (Betilla's magic, the masks, etc) deny the clothing idea, not to mention his neckerchief.