I seem to change characters weekly and i'm always looking to these forums for ideas.

one that lasted the longest (so far) was a tree-hugging/vegan/hippie Wood Elf. She was all about being one with nature.
most perks were illusion (for calm spells), sneak and archery. then a little bit of one handed and other random stuff.
she wouldn't harm animals of any kind (mammals or fish types...dragons and spiders and monsters were ok to kill). the early levels were pretty tough...included lots of running away from wolves, bears and mudcrabs. at least until I got the 'calm' spell. Kyne's peace shout made it a lot easier to walk around.
she also wouldn't eat meat of any kind. just fruits and veggies. (lots of apple cabbage soup!)
leveled up Sneak pretty quickly and i pretty much crouch walked everywhere to avoid being spotted by wolves, bears, etc.
Archery was big for her. also wouldn't wear any armor if it came from animals. no leather, or hide or fur. Mostly she just wore the roughspun tunic she started the game with and ran around barefoot like tarzan. She would put on Elven armor when fighting dragons though because it seemed dramatic

would always kill hunters. because y'know...their job didn't go with her world view. she would only use horses to 'free' them from the stables, ride 'em a bit then let them go. (even though they'd wander back home eventually) and would kill the stable folk if she could get away with it. (that guy at the whiterun stables is still sitting in the chair where she snuck up behind him and killed him

)
i had a lot of fun trying to play a character like that. (so different from my own world view...i do love hamburgers!)