Some quick ideas I didn't really elaborate:
A duo champion which has a system to switch between the two heroes. Each of them has its own mana bar and stuff. This could be done by a special interface for that.
A leg-fighting girl, aided by a spirit (her lore is something like that: when she was a child, she lost her ability to use her hands - drama, drama, more drama- somehow, during a night, when her father came from a war, she wakes up with her parents killed, she gets in some kind of mental hospital where her spirit powers awake). Her basic skills (Q,W,E) are weak but have special effects when combined together (for example, Q is a leg kick which slows enemies, and, when combined with her W, she throws her enemies airbone). However, she should have a "stamina" bar instead of mana which puts a limit to her combos and attacks.
A champion with dual scythes. His passive is something like this: after hitting your enemy with 3 auto attacks, you mark them with 'Helpless' - a debuff which, dunno, does something awesome. It has a long CD. If your enemies are Helpless, you can use your ulti which makes them possessed by you/
A summoner. Like yorick, but a little bit different. Pressing Q makes your abilities change, while being able to summon monsters like Minotaurs and stuff. W, E and R have special interactions with what summon you have.
An assassin. He's part of a special clan -whose members can be later made in the game too- which wants to send a message to the world about corruption, etc. He might have dual scythes too and an evil inner spirit (like the leg-fighting girl). Or even a huge disposal of weapons. Other than that, he's INSANE -or he might be really serious, too- but nevertheless funny. His R is something like this: you kill yourself, dealing damage to your last-hit depending on the life you had and the damage you inflicted before. After you die, your evil spirits wanders for.. dunno, 10 seconds? But he's really strong. He (the spirit) has specific Q,W,E and maybe even R abilities. If you kill someone with him, you're alive again. Would be an awesome 1v1 champions I think.
Hope you have fun.
[slayer-jinx-wink]