I see your Adam, and raise you the West PC 800...
(Made in Norway, so you've probably never heard about it)
It was a CP/M - BBC-Basic machine with 2 CPUs(Z80 and 6502), built-in alarm-system and modem(Yes, really), was reputed to be able to take a 68000 daughterboard and run some sort of Unix, and it had a Wireless keyboard(!), all in 1984...
Of course, the keyboard used IR, and to recharge the battery-pack, you plugged it into the West PC keyboard connector.
Of course, the whole first series of keyboards had a faulty regulator which died the moment you plugged it in, releasing a puff of magic smoke.
Also, the PSU was put together at a prison workshop, and the first 50 or so fit so badly that they had to hammer them into place. (The designer told me this himself)