OK, i've seen a couple of my choices have already been mentioned and can see many of the UK based guys appear to have a different pool to choose from than the US based members with some glaring exceptions. It has certainly given me some names to research. Anyway, here's mine in no particular order but starting off with my obvious favourite:

1: Muddy Waters
2: John Squire (Stone Roses, Seahorses)
3: Jim Peterik (Ides of march, Survivor)
4: Hilton Valentine (The Animals)
5: Brian Setzer (BSO, The Stray cats)
6: Jim Heath (The Reverend Horton Heat)
7: Angus Young (AC/DC)
8: Chris 'CJ' Jagdhar (The Wildhearts, Honeycrack, The Jellys)
9: Dave Gilmour (Pink Floyd)
10: Joe Strummer (The Clash)
11: Roddy Radiation (The Specials)
12: Paul Weller (The Jam, solo)
13: Steve Marriott (The Small Faces)
14: Dave Stewart (The Eurithmics, Vegas, Solo)
15: Jake Burns (Stiff Little Fingers)

I've left out so many it's unreal, but notable additions would be:

Marcus Miller (Bass) (an accquired taste but astounding skill and song writing)
George Harrison (Not a huge beatles fan but love his solo stuff)
Mark Knopfler
Chris Rea (vastly underated)
Bruce Foxton (the first time i was REALLY attracted to Bass)
Greg Brown (Cake)
Paul Simon

The list is endless really..........