Even just in DCAU, I feel like Bruce had been implied to have slept with many named characters, though some of that may have been more bluffs, like those many women that were into him in Mask of the Phantasm, wanting to date the rich guy, while Andrea Beaumont he definitely slept with, I'm almost certain. Plus Selina Kyle, Talia, possibly Wonder Woman (at least in one universe), Poison Ivy possibly, Zatanna potentially, even Batgirl (squicky as that is). Though he kind of has it easy in a way, but Nightwing in the comics supposedly has romanced even more than Batman has, and he has more love interests in the comics
Seriously, the original Teen titans, Batman Beyond, and all those Saturday morning cartoons were great, Kids shows these days suck. I pity kids of this generation.