Even though I absolutely hate the way DC is now (seriously, I'm boycotting them), I do have a few DC ships.
Catwoman/Batman (my favorite. I love that they constantly chase each other)
Robin/Batgirl (and, later on, Nightwing/Oracle)
Superboy/Wonder Girl
Clark Kent/Chloe (which only exists on Smallville, but I like it)
Robin/Starfire
Beast Boy/Raven
Beast Boy/Terra
I think that's it.