I have a dual axe wielding Orc and I am curious as to wether there are any cool unique one handed axes as a quest reward or something?

just one that i can remember, & its just a named dragur axe with frost (and its lighter)

u can always grind enchant & make your own. i got a ebony battleaxe with absorb health & soul trap called "Bloodthirst" much cooler than any renamed (as in not really unique) item ive found.

i would also suggest that you make your own.

with some help from items that aid smithing my toon

was able to smith her ebony war axe beyond 60 damage.

just imagine your orc wielding 2 of those. LOL

It didn't really qualify as "cool", perhaps, but on one playthrough I got a one-handed enchanted axe from the initial Whiterun quest. It wasn't all that powerful, but not bad for my level at the time, and it was unique in the sense that it was named "the Axe of Whiterun" or some such thing. On another character I got a 2-handed axe, though, so it appears to be random.

Rueful axe from a Daedra's best friend. Truthfully though the best, coolest looking axe you'll find is one you make unless you get lucky with like a daedric war axe.

There's an axe that chops animals, I can't remember what it's called now but u can swipe the enchantments from it.

Okin, that pairs with Eduj.

most early magical weapons don't seem to advance very well.

you have to have 60 points in smithing to improve them

and even if you do the magical damage is the same

i had a bow of frost that i found early that did 10 points

of damage and 10 points of frost damage ... but my

regular glass bow now does 26 points of damage.

so i sold the magical one.

the same will hold true for early magical war axes.

Dual weilded enchanted Skyforge War Axes are the way to go, they deal some pretty good damage even before you add enchantments to them.

Also the axe given from Winterhold Thane quest.

Lunar axe, I usually get two of them, They are enchanted with extra points for kills while the moons are out. Leveled weapons so they don't exactly last the longest. They are found in the area around Whiterun at Their are other weapons also.