All of these are "type" guitars, since there are different brands that can get close to each model:

Les Paul
Strat
Tele
335
6120 (Gretsch)
Firebird (NOT the X... but one with mini-hums)
Reverend Club King (for the P90s)
Ibanez/ESP/Jackson shredder

With that list of guitars, and a Fender and a Marshall amph, you can cover just about all sonic territory.