To be honest, no. The only thing I consider 'uncool' about the Beatles, is they way some of them treated their wives/girlfriends...but I suppose that might not exactly be what you're looking for.
The stereotypical idea of 'cool' doesn't appeal to me, so I don't really follow it. I really think that their musical growth through the years was amazing, and I really just find everything about them 'cool'. From the Mop-Tops and suits to the Sgt Pepper and Mustaches, I think that a lot of the things they did were incredible and very, very cool.