The TV Tropes page for Ambiguously Christian says this (emphasis mine):
The Batman films from 1989-1997 take place in a Christian world, with a Jewish presence here and there (a kosher butcher shop appears in the 1989 film), but outright references to religion are few and far between. Batman Forever does have Bruce Wayne saying, in reference to his parents' deaths, "On the night of the wake, the priest's words brought no comfort" (which could simply be another example of Christianity Is Catholic), and both of the Schumacher films deal heavily in such Christian themes as guilt, forgiveness and salvation without mentioning Christianity itself. The 1989 film shows a medieval Gothic cathedral towering over Gotham City, but the inside suggests that no one has set foot inside it in years, if not decades. Batman Returns takes place entirely during the Christmas season, but the citizens celebrate Santa Clausmas - and, interestingly enough, a line from the speech at the tree-lighting ceremony, "In this season of the Savior's birth...", was ultimately cut from the film, as a somewhat clumsy edit makes clear. There is never explicit mention of either Bruce Wayne's Roman Catholicism or his Jewish background, assuming these details are canon within the films as well.
I am unaware of any version of Bruce Wayne having a Jewish background. Most versions that give him a religion seems to have him raised in a Catholic and/or Episcopalian household.
Has any version of Bruce Wayne created before Batman Forever given him a Jewish background, either religiously or ethnically?
[Update: I have now corrected the TV Tropes page.]