I remember the teaser poster as early as December 1991 with the tight close up of the Bat-logo ears and the Summer 1992 at the bottom.
I remember impatiently waiting for the school year to be over and ready for Batmania all over again but in this case it wasn't as huge a marketing push as in '89 but now quality control on merchandise was really strict to thwart out the pirated stuff such as T-shirts, toys.
There was the CBS special hosted by Robert Urich and E! had an hour long one too of which I still have on VHS, some pretty cool stuff especially seeing Christopher Walken being interviewd without realizing how kooky he would become in later roles, he even wore a tuxedo to the premiere admiting he didn't know what the attire would be thinking it would be like a huge gala event.
oh Chris you're so kooky.
The movie itself didn't impress me much since once again Batman took a backseat to the villians but seeing it every so often with an older perpective I can appreciate Burton's attempt at making weird movies before that didn't fit the studio standard.