For me, well, newer guys I suppose, since I'm not too into older styles of music (I don't disagree with them, just wrong age I guess to appreciate them fully, and I don't really try
). But, my own inspirations nonetheless
Arif Mirabdholbaghi from Protest the Hero
Dan Briggs from Between the Buried and Me
Alex Webster from Cannibal Corpse
Stephan Fimmers from Necrophagist
Jordan Eberhardt from Scale The Summit
Jeroen Paul Thesseling
John Myung from Dream Theater
and some of the other guys that were mentioned in this thread like:
Flea from RHCP
Jaco Pastorius
Mark King from Level 42
Victor Wooten (listened to him quite a fair bit when I was starting out)
Not to slam anyone or something, but quite honestly, I don't really like guys like Sheehan. I don't know why, but when they play their solos, its always a bit too flashy for me to appreciate it. Well, my personal tastes I guess
And probably a lot more, just not able to recall at the moment.