The Ebony blade is the only one I know of.
OK it's affected by one-handed perk's, as long as it actually kill's enemies, just perk up the one-handed tree. It's only a really bad thing if you want to change weapons later in the game.
I found some armor that say's heavy, but I plan to play as if it is light armor. Looks like it should be light armor.
If that's the "look" that Nickbsm is going for then, use what you can, how you can.