We in the Yorkshire Atari community always used to refer to that architecture as the 'Amiga Games machine', C/F the 'Atari PC'. So the CD32 was the Amiga games machine games machine.'
CBM made a keyboardless version of the C64 that could run cartridge software only, and it was right cheap...sound familiar? XEGS anyone? Although you could get a keyboard for the XEGS and it had an SIO port so you could make it into a full-blown 65XE...the C64gm could just play C64 games (which were good, better than Amstrad and most Sinclair games but not as good as the XL/XE...)