DC did a Year's Best for Superman, so why not Batman? Heck, you could argue there was more reason to do this, since the Bat-titles were done by very different creative teams, allowing for a greater variety of stories, wherein Superman and Action Comics always sorta seemed like the same book.
Behind the cover by Joe Brozowski and Larry Mahlstedt were these Batman stories considered the best of 1984:
"...The Player on The Other Side!" by Mike W.Barr(a vastly underrated writer, IMO), Michael Golden, and Mike DeCarlo, from Batman Special #1
"Down Below" by Doug Moench, Gene Colan, and Bob Smith, from Detective Comics #537
"What Price, The Prize?" by Moench, Don Newton(talk about underrated!), and Alfredo Alcala
"Boxing" by Moench, Newton, and Smith
...plus a fun pin-up of Bats and some of his friends and foes:
Ooh, I know, I know--clockwise from right: Catman, The Spook, Clayface II, The Cavalier, Tweeldedum and Tweedledee, The Gentleman Ghost, Mad Hatter, Killer Croc, Signalman, Mr.Freeze, Commissioner Gordon, The Joker, The Scarecrow, Poison Ivy, um, that pirate guy whose name escapes me at the moment(anyone?), The Penguin, Matches Malone?, Two-Face, Black Spider, The Riddler, Batgirl, and Alfred!
*Whew* I'm exhausted. This digest thing can be hard sometimes...