Serious Flaws in this discussion:
1) Lumping Guitars and Basses into the same category, particularly on a poll, is a bad idea. Each company has strong and weak points - some are good with guitars, some with basses, some with both, some with only specific instruments.
2) "Rock" is too broad a term to define a given instrument's strengths under. How can you claim one instrument as the best for everything from psychedelic to surf music to fusion (well, actually a Strat fits nicely into all three of those categories, but that's beside the point)
That said, I'll offer up some opinions about common guitars and allow you to dismantle them as you desire.
Fender Stratocaster: A finesse guitar - thin, wide neck, bright sound. Eric Clapton, Eric Johnson, Yngwie Malmsteen, Dave Murray (Iron Maiden), David Gilmoure, Jimi Hendrix - all Strat players. Not a great crunch guitar, unless you slap in at least one railed humbucker in the bridge position. Even then, you're pressing your luck trying to get a big beefy tone out of it.
Gibson Les Paul: The exact opposite of the Fender. Everything that the Strat is, the Paul isn't, and vice versa. Thick neck, heavy, dark tone, big fat sound, but a brute. Slash, Randy Rhodes, Zakk Wylde, Jimmy Page - all LP players. Again you've got a wide spectrum of applications - but don't try doing too much clean work with this axe - it won't go very far - too muddy - unless you want to add a custom switch to cut out the top coil in your pickups - even then you'll suffer from all that wood...
Paul Reed Smith - I've seen a lot of these, played some of them, and can't really figure out what the big attraction is. It's such a generic-sounding instrument - there's no really distinctive tones to a PRS - it's just kinda there. Flexible, but certainly not unique.
Schecter Custom - this is a Strat, with all the amenities a strat should have and doesn't. I love the subtle touches of an SC - standard model is stained instead of painted - more of that beautiful wood resonance, rather than the plastic sound of too much enamel - well balanced, good playing, lots of options available. Stay away from the Diamond Series - they're crap.
Epiphone - I have no idea why this guitar is in that list. Gibson's red-headed stepchild, is what an Epiphone is. CRAP, CRAP, CRAP.
Ibanez - A bell-and-whistle specialty. The only people who play Ibanez guitars are people who can afford to make Ibanez give them exactly what they want. Satchmo and Vai are the only current Ibanez players worth their salt. Paul Stanley is an Ibanhead, but I can't bring myself to call him a real guitarist. Every production model Ibanez I've ever handled has been of questionable quality level. They don't hold up to road use. They don't sound any more distinctive than they look - other than
the Iceman, which sounds significantly less distinctive than it looks.
ESP - why is this company in the list? Aren't they the ones who build all the Jackson/Charvel clones?
One other name worth mentioning:
B.C. Rich: The definitive heavy metal guitar - Ironically, B.C. Rich's heyday was during a time when Bernie Rico didn't own the company, and their quality sucked. Now Bernie is dead, but the B.C. Rich Customs are back in full force and better than ever - looking badass, playing pretty well, and sounding great. Only mistake they've made recently (IMO) was dropping the wonderful Kohler trem systems in favor of the chintsy Floyd Rose II's (BARF!) Of course, now that FR has licensed the original design, they use it, but I still loved those old Kohlers - so stable - man, you'd have to wrap your low E around the neck a couple times to get that bridge to detune...