The BBC micro series had red function keys. Exactly why the function keys were red seems to be lost to history; there doesn't seem to be any mention of such in any of the BBC specification documents that have been released. Nevertheless it became an iconic feature of the BBC micro.
According to an interview, the Archimedes was originally conceived as an office automation machine, running an OS called ARX that never saw the light of day.
Acorn later decided to make a "BBC like" OS for the machine and pitch it to the BBC as the successor to the BBC micro. The BBC showed interest and the 300 series Archimedes machines were released with BBC branding and red function keys. Meanwhile the 400 series, which were aimed at more professional markets had grey function keys.
The A3000 was the successor to the 300 series and continued with the BBC branding and red function keys. It was the last Acorn machine to used the BBC brand.
The next generation, while dropping the BBC brand, actually expanded the function key colour code. The A3020, which was aimed at schools, kept the red function keys. The A3010, a lower end model aimed at home users, went with green function keys, and the A4000 kept the grey function keys of previous "business" models.
Sadly that seems to have been the end of colourful function keys at Acorn.