Hmm... I think you're actually looking for a CD32, not a CDTV. The CDTV was set-top box based off the A500. The CD32 was closest related to the A1200, had AGA, and was a game system.
As far as I know, games like SuperFrog were CD32 games, not CDTV. (Though there were some CDTV titles, there weren't many, and the CD32 will play most of those, as well as it's own.)
