Gross, there's a Riven main here.
On Topic:
's Box's can't fear batman cause he's not afraid of anything. He'll just man handle my clown =(
Not a chance
Nope...
CHAOS DU...nah, he'd have problems too.
Batman's tech is better
Batman's antitoxins...enough said
He's fought pirates in the past...she's no issue
Even RUA version is no match
Batman laughs in the face of death
This would give new meaning to punch drunk
Zilean would win bring his parents back to life and make him fight them
I'm not sure. Veigar is EVIL! He's the final boss of League of Legends! A level 99 Dark Mage! He can make the skies split open and rain dark matter on his enemies! He can distord space and trap his foes in an event horizon! He can unleash the freaking BIG BANG on his foes!
But then again, he's up against the goddamn Batman. Veigar would probably die to Batman's auto-attack before he can even notice the Dark Knight.
vs. Batman... Have you ever struggled with yourself? I think Vayne's womanly wiles would give her the edge.
DEMACIA >Batman
I feel like Batman's CC counters
so he would win
The same way I deal with every matchup. Go full AP and chunk the nerd for 50%HP with one l empowered aa! :) 
What's that you say? Batman is highly mobile with strong burst and cc?
Goodbye cruel world. q.q
(Not necessarily my absolute favorite, but probably the only guy smarter than batman in terms of battlefield strategy and planning)
Your methods and tactics are impressive, but inferior! They will not save you!
I can imagine it being like Deathstroke vs Batman

Satan always wins.