Batman: Arkham Origins, created outside of Rocksteady by WB Games Montreal, will not be included. Arkham Asylum and Arkham City were originally released for Xbox 360 and PlayStation 3, as well as PC.
The new versions of those games included with the rumored Batman HD Collection will have "updated visuals" that have been "optimized" for PS4 and Xbox One, according to the leak.
Eurogamer reports that the Batman HD Collection will go on sale June 10, with preorders opening tomorrow, April 19. If that is indeed the case, an official announcement may be imminent.