Da Best

This site has listed the 100 Greatest Rock Guitarists
Of course, these lists are very subjective, and usually the opinion of some individual whose opinion for some reason, matters.
Anyway, I agree with a lot of these, but some I have to ask WTF?. But if you remind yourself of the criteria by which these selections were made, most make sense:

Guitarists are ranked for their impact, influence, creativity, versatility, originality, technical skill and lasting popularity in the genre of Rock guitar.

Impact and influence are key here. Jimi Hendrix (no stranger to the #1 spot) wasn't that great. He was however, very innovative.
Although Eric Clapton is great, I've always thought there were better guitarists than him. But again, he was very innovative and creative.

So here are my favorites, in the order the list had them in:

5. Eddie Van Halen - Van Halen
6. Stevie Ray Vaughan* - Stevie Ray Vaughan & Double Trouble
7. Joe Satriani - Solo
9. Steve Vai - David Lee Roth, Whitesnake, Solo
12. Randy Rhoads* - Quiet Riot, Ozzy
15. Yngwie Malmsteen - Rising Force, Solo
21. Eric Johnson - Solo
35. Kirk Hammett - Metallica
44. Slash - Guns N' Roses, Velvet Revolver
50. Angus Young - AC/DC
57. George Harrison* - Beatles, Traveling Wilberys, Solo
60. Jerry Cantrell - Alice In Chains, Solo
65. Kenny Wayne Shepherd - Kenny Wayne Shepherd Band
70. Jerry Garcia* - Grateful Dead
78. Tony MacAlpine - Solo
81. Gary Hoey - Solo
104. Gary Richrath - REO Speedwagon, Solo
113. Ted Nugent - Ambouy Dukes, Damn Yankees, Solo,
139. Tom Scholz - Boston
159. Lindsey Buckingham - Fleetwood Mac
172. Pat Travers - Pat Travers Band
173. Dave Mustaine - Metallica, Megadeth

I'm not going to put them in any sort of order of preference. That's just too much thinking. They all have their specialties and reasons for me liking them, whether they had a big influence on music or not.

*They're dead.