My inspirations come mainly from prog rock/metal bands. Recently I've been very inspired by Genesis for example. Other big influences in my style are Marillion, Frost*, Symphony X, Toto and Pain of Salvation. I also have some jazz influences but I can't really point a particular band since I don't actually listen to much jazz but I've read a few books and stuff about jazz theory because I love them chords but I'm not into improvising and solos that much.
When doing remixes, however, I tend to look for outside inspirations depending on the style I want to achieve. Sometimes I get inspired by other remixes, like zircon's, Willrock's and others. Other times I search for specific inspirations depending on what I want to do. For example, I listened to many western songs when doing a Paper Mario remix once!