From Mego to Lego, various folks have made Batcave playsets and replicas (a fancier name for playset). But this must be the most elaborate to date: Factory Entertainment's "1966 Series Batcave Desktop Sculpture," yours for only $799.99.
The set includes LED lights, a "pulsating color change effect" for the cave's atomic power core, flashing lights on select monitors and screens, and a rotating turntable for the Batmobile (not included!).
Looks like fun, and look is all I can do.