The Edge is my favorite guitarist...
The Edge is my favorite guitarist and if not for the Edge I would not have fallen in love with the guitar... with that said, I don't think he's that good technically. Defintely creative though and respected for his tone. He might have improved over time (c'mon, he's played professionally for over 20+ years), his "skills" still pale in terms of today's virtuosos or even the Brit guitar giants. He's even touted a philosophy that emphasizes not practicing (in an interview a while back). That kind of philosophy can't be conducive to improved skill... LOL.
But that makes the Edge, the Edge for better or for worse...
Here's some interesting stuff that Billy Corgan wrote concerning guitar playing and it has snippet about the Edge....
Guitar playing, in and of itself, does not mean a whole heck of a lot. But guitar playing with in the context of great music and great songs is a big deal. If you look at the guitarists who are most noted for their playing ability, you will find that their reputations are inextricably tied to the great songs they have written, or at least reinterpreted in their own unique ways. We appreciate the guitar-playing skills of Eric Clapton, Jimi Hendrix, Jimmy Page and others within the context of their songs. The downfall of the Yngwie Malmsteen school of guitar playing, which focuses almost solely on technical proficiency, has occurred because ultimately, no one really gives two shits about guitar playing in and of itself, except maybe other guitar players. These days, there are three-chord punk bands enjoying huge popularity, and no one can tell me that their style of playing--which doesn't even involve guitar solos--is somehow less influential than guitar playing based on virtuosity. When you get right down to it, the guitar playing of Green Day's Billie Joe Armstrong has a lot in common with that of a Seventies guitar hero like Ted Nugent. Both have been very influential because their styles are very accessible... To me, the best rock riff writer now is Diamond Darrell of Pantera. At the other end of the sonic spectrum is the Edge from U2, who plays completely stylized parts which propel the songs.