I'm with WFD on this one. For more rhythm based playing I love my Gordon Smiths and Les Pauls. They all have the 60s slim-taper kind of neck which is a nice handfull, but still slim enough for fast-ish classic blues based lead work. I'm talking Gary Moore, Slash, Jimmy Page kinda stuff.
For what I call "proper" lead work, I much prefer a slimmer neck. I have my '65 Epi SG (with proper early 60s super slim neck, unlike all other Epi SGs) for my 'DC gigs, and I have a bunch of Ibanez RGs and a Jackson Dinky for those rock/metal moments.
Try playing the "Riff Raff" solos on a 50s neck Les Paul and see how you get on ;)