Bleemcast was announced at E3 2000. The announcement was for four discs that would play 100 games each, to be released that summer. However, summer came and went and no releases were to be had. Not until April 2001 that it was announced that Bleemcast had been scaled back to support one game per disc, as the previous plan had proven impossible. The three titles released were
Gran Turismo 2,
Metal Gear Solid and
Tekken 3. However poor sales, the refusal of major retailers to stock it (at Sony's request), the premature death of the Dreamcast and a general disdain of the public at the abandonment of the 100-games idea to say nothing of the legal debt attained spelled doom for Bleem and the company folded last month.
Some people have claimed that with some clever hacking older games can be made to run with some of the discs, but no one has ever duplicated this so it was likely a hoax. Therefore the only game that will run with a Bleemcast disc is the one it was designed for.
As for availability, there are still unpurchased Bleemcast discs out there, but once they're gone they're gone. Bleem did have their own online store, BleemDIRECT, but as Bleem died so did the store. Electronics Boutique has them still available on their websiite, and probably in stores as well:
http://www.ebgames.com/ebx/scripts/texi ... uct=bleem*
The only other retailer to carry Bleemcast was an electronics superstore called Fry's. They still reportedly have them on store shelves.