Have both Batman: The Movie and Batman: The Caped Crusader for Amiga... had both BITD too (as well as Caped Crusader for C64 which is really well done). Can't say I *still* play 'em anymore, but both are great games. Amiga movie version with the digitized opening screen and music was really impressive back then. Still is.
There's also a Batman Returns game, which supposedly sucks - but have never played it. There's a few great Amiga game sites that show what was what, but Lemonamiga.com is one of my favs. While they don't have every_single_game listed, it's easy to navigate, chock full of info and has some entertaining reviews...
