Are they queer? (Batman version)
Dick Grayson: Yes, in a video game (and also probably in the New52) which is good enough for me!
Jason Todd: Judd Winick certainly thinks so. And he flirts with guys.
Damian Wayne: Well, no one's proved he isn't. (I couldn't find any evidence that he is though, so he goes in the "probably not" column.)
Stephanie Brown: Implied* to have dated Cass in Future State. Was a lesbian in the Gotham Knights TV show.
Cassandra Cain: Implied* to have dated Steph in Future State. Appears to express attraction to Zatanna and flirted with Harper. Signs point to yes.
Barbara Gordon: According to TVTropes Gail Simone said that a line in Birds of Prey originally had Barbara say she was "75% heterosexual" and this was only scrapped by accident so... TVTropes lied, this was about Dinah.
Alfred Pennyworth: He married a guy in the Gotham High graphic novel! He's also a thespian (I say as a theater kid).
Duke Thomas: Probably not.
Bruce Wayne: He did look like he was about to kiss a guy (possibly Ghostmaker) in The Knight #5. And George Clooney said he played him as gay. DC will never actually make him queer in the comics, but a comedian "made him gay" in a movie, so that's something.
Jarro: Pretty sure he's asexual, given how Starro reproduce asexually.
Definitely: 3 (Tim, Harper, Kate)
No absolute proof, but in other media, yes: 4 (Dick, Steph, Alfred, Bruce)
Almost Definitely: 2 (Cass, Jarro, and Steph too but I won't double count her)
There's good reason to believe...: 1 (Jason)
Probably Not: 3 (Duke, Damian, Barbara)
Definitely Not: 0
Conclusion: 10/13 of Bats included in this analysis** have decent evidence of being queer, 6/13 Bats are almost definitely queer in the comics, 7/13 Bats have been confirmed as queer by their actor or directly in the canon of at least one alternative universe, and 3/13 are confirmed as queer in canon. *throws glitter in the air and hides*