Post 1960 and I only get ten........well, here it goes and in no partiuclar order.
Jimi Hendrix
Jimmy Page
Eric Clapton
Jeff Beck
Robert Fripp
Frank Zappa
Eddie Van Halen
Peter Green
Stevie Ray Vaughan
Duane Allman
If this was a bigger list, the next few guys on it would be Steve Howe, Randy Rhodes, Johnny Winter, Rory Gallagher, Robin Trower, David Gilmour, Michael Schenker, John McLauglin. A lot of what I considered when picking these was how much they shaped their particular form of rock, which is why guys like Vai and Satriani aren't there and why Chuck Berry and Bo Diddley WOULD be on the list if it went back past 1960. They are great, but they were essentially following in the footsteps of Van Halen. The same argument could be made for guys like Peter Green (replaced Clapton in the Bluebreakers) SRV (copying Hendrix and Albert King) and Gilmour(Fripp made the "official list" instead because he kind of invented the prog genre and Gilmour, Howe and Trower made the second string) But even the guys who were riffing off of other heavily did their own thing. Some guys, like Hendrix and Allman did it so well, you tend to forget their influences even though they wore them on their sleeves