That's a bit like the Ford/Vauxhall; Football/Cricket; type questions! I guess we tend to like what we hear in the music we gravitate towards, and what we get exposed to.
I like both Fender and Gibson guitars, but always head towards Gibsons because they defined more of the sounds I followed - Led Zeppelin, Focus, ZZ Top, Gary Moore etc. Of course Hendrix is up there, and Rory Gallagher, Ritchie Blackmore on Fender but there were just more Gibsons making the sound I wanted to hear and make!
They definitely sound and play quite different though, and you can pin down why: -
Gibson - mahogany neck/body (neck inset and glued); 24.75" scale length; humbucker or heavy wound single-coils. (Les Paul, SG, Flying V etc)
Fender - ash/alder body with bolt-on maple neck; 25.5" scale length, light wound single-coils.
I find the Gibsons have a richer native tone (more fruity), but can sound muddy and/or harsh, and the shorter-scale makes them easier on the bends, while Fenders have a more neutral, articulate tone that is more versatile, and are slightly harder to play with the longer scale length.
What do you think? Anybody else?