Batgirl was horrid enough at the beginning of the new 52 that I've ignored it since. I can't imagine anything short of replacing babs would get me to try it again. Batwoman is quality. pretty, fun, surreal stuff, though a couple issues have been duds. Green lantern has been good. Haven't read new guardians or red lanterns in ages but I enjoyed them both before schoolwork devoured my hobbies a while ago. GL Corps wasn't worth reading when the new 52 began and unless the current crossovers shook things up hard i doubt it's changed.
Unfortunate to hear about Batgirl. Is there anything more decent that Gail Simone's penned? I might also try Wonder Woman and Frankenstein, now that I'm thinking of it.