I'm sorry but I have to "chip" in here and point out that as I say on every possible occasion to anyone who'll listen, that a British company, Acorn, who were instrumental in bringing us ARM chips (and indeed set us a separate company for their development), had ARM chips running their computers back in the 90s! I still have one - no longer in use though.
I'll also point out that when ARM Ltd. floated, their shares were £0.72 each. I didn't buy but wondered if I should had. I gave up watching the price when it reached £44.00. By all means come to me for computer advice but parhaps not share dealing ;-)
The ARM chip in the Acorn Archimedes actually came out the the 80's. 1987 to be exact as the A300 and A400 series, a year or so after, though having the same form factor as the first Commodore Amiga, the A1000 with its custom (sound and graphics) chips alongside the 68000 chip.
It was Apple's collaboration with ARM on the Apple Newton in the early 90's did the ARM really start its slow rise as the de facto mobile chip we know today.
The ARM250 in Acorn’s A3010, A3020 (I still have one of those), and A4000 made moves in the direction of being a system-on-a-chip as well, integrating the controllers for memory, graphics, and I/O with the CPU.
I may be misremembering, but I think the SoC term was used to describe the ARM250 at the time.