Panic At The Dojo is a martial arts tabletop that lets you heavily customize a character's fighting style and quirks! It's not exactly an RPG since there's no real progression, but character creation is a heavy focus and their personality sort of emerges from the styles you choose.
And of course, I can't go without plugging my own dark fantasy TTRPG, 1000 Years Of Daylight, which lets you pick from some cool playable races (none of which are 'normal' humans) and a HUGE list of items and modifications with plenty of room for flavor!

