I have a strong preferrence for a female character, and am female. Not only are they absurdly rare outside of MMOs, and utterly rare as the sole playable character/in games where the female PoV is different, I relate to them better.
Kinda tired of bland male protagonists. I'd rather have something, someone, different, be they well written guys, or a female, even if they are bland they're different.
I can, have, and will play as the occassional guy. How much I like it varies.
GTAV was pretty neutral, all around. Yeah, I liked trevor being the flawed embodiment of chaos.
I found some mild relation to Franklin having worked on a car lot before.
Mike, I played him as family appreciative, and I can relate to his wants to live a good life.
Still, that's some of the absolute most basic stuff, and barely anything to cling to.
I can't comment on my GTAO character, but I'm aiming for a female, lesbian, asian getaway driver/gun-bunny. GTAO is why I got GTAV, and played it, really.
Red Dead Redemption, BatmanArkham Asylum/city were awesome, but honestly the games feel too far and few in between where the world/protagonist get my attention when you're playing as a guy.