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.
Guitars:
Fender 2006 MIM Fender Stratocaster HSS in 3TS
Ibanez RG 570 with a bridge Invader
ESP M II Deluxe with a Tune-o-Matic bridge
Eleanor, the magical, mystical Road Worn wonder Tele
Blackstar HT Club 40