Damn, I had a working Packard Bell 486 SX-50 PC about 10 months ago. It had 1 stick of 16mb 72 pin RAM, a 3.5" FDD, a HDD (1GB?), a CD-ROM (2 speed) which was connected to an Aztech soundcard. I think it was called an "Executive Multimedia" PC, and it had built in video - possibly Cirrus Logic, probably 1mb. It worked! I seem to remember taking the CPU, RAM, soundcard, CD-ROM drive, and taking the "remains" to the recycling centre. Pity. Wish I still had it now!
Regarding the Amstrad, I think my first PC was the poorer version of the PC1640. I remember the power source was inside the monitor. I also remember the HDD had a defect on it!
I've been thinking a bit more about this mad project. Maybe I could slap together a typical slot 1 mobo, using very cheap components. Then just parcel tape it all together, in to one unholy "lump". It would still work and be good for most retro games and stuff, but just look like one ugly mutha.