In Australia, the Frigidaire washers, stoves and fridges were made by GM Holden in their Dandenong factory which also made Holden cars. We had the Pulsamatic, Multimatic washers, I don't know if we ever got Unimatics or Rollermatics. The washers were unique to Australia in detail but basically were the US technology.
I still own a round body Frigidaire washer which is, I'm told, unlike anything ever sold in the USA but uses a standard pulsamatic mechanism. It is manual control, you fill it with a hose, turn on agitation when full, switch to spin to drain and spin, then refill and manually wash again to rinse. There is no timer, just a wash-off-spin switch. Made in 1958.
The stoves were very "USA style" in that the oven was directly under the hotplates, most Australian stoves of the time have the griller (broiler) above the oven. So I'm guessing probably a US model made in Australia.
The washers used the same model names for plain or posh models - Deluxe, Custom, Imperial and so on. We also had a "Master" which was the most basic - I think it was semi-automatic - just a wash/spin switch and a clockwork 15 minute timer. I have a dashboard from one somewhere.
Now we need some Europe / UK people to chime in...
I do remember a UK advert popping up on this website which mentioned a Frigidaire washer with jet-action up and down agitator, so it must have involved some real Frigidaire technology.