Looking to play some of Gotham's finest (or worst) against many different people.
Could be a naughty Harley Quinn, Catwoman, Ivy or a crossover with a Marvel lady. Several could fit in Batman's little universe I think. (Black Cat, Mary Jane, Jane Foster.... for starters), a crossover with something like Kick-Ass (Hit-Girl/Robin?).
Open to many other crossovers/pairings. Would play Nolanverse, Comics, or potentially in the 90's cartoon universe. Could likely be persuaded in to Justice League territory too, or Batman Beyond although I'd need to brush up on those.
The Arkham video game series is completely on the table as well.