Are you asking for a list of computer models manufactured outside USA, or more technical aspects: video mode, voltage etc? Also, you're not particularly interested in clones, but unique designs.
Most of the popular European home computers were the UK ones, except for domestic computers in some countries. Here is a partial list:
England
Sinclair: ZX80, ZX81, Spectrum (16K, 48K, 128K, +2, +3 etc), QL.
Jupiter Ace, the Forth computer has a ZX form factor and shares several other aspects with the Sinclair computers.
Amstrad: CPC464, 664, 6128, 6128+ (sold as Schneider in Germany etc), PCW, various PC clones (also sold as Schneider).
Oric: Oric-1, Atmos, Telestrat (very rare and expensive). Both the Amstrads and Orics were popular in France.
Acorn: Atom, Electron, BBC (various models, including B, Master, Master Compact), Archimedes (various models, more along with Amiga/PC)
Wales
Dragon 32, 64 (kind of TRS-80 CoCo 1/2 clones, small differences)
Sweden
ABC-80, ABC-800, ABC-1600, Scandia Metric 65, 85 (early school/office computers - the original ABC-80 was said to be inspired by TRS-80, but not compatible at all)
Compis (official school computer, featuring 80186, now relatively rare to see as most schools probably threw them away in the early 1990's)
Some more obscure ones are Camputers Lynx, Comx-35 (Dutch/Hong Kong, very rare), Basis-108 (German Apple II relative) to name only a few from top of my head. People from other countries will be able to name more, in particular the uncommon stuff from former East Europe that even didn't make it here back in the days.
If we move our focus to Australia and that region, MicroBee 32 and 128 comes to my mind. Like many other computers, I think they were also intended for school use to begin with. Dunno what the rest of the Aussie or for that matter NZ computer industry looked like.
Asia is a completely different chapter. You have probably heard of the MSX standard, which had successors in MSX2, MSX Turbo-R and so on. A lot of Japanese, and also European (e.g. Phillips), Brazilian etc companies entered the market with one type of MSX computer each. The basic specs were identical, but each computer often had a small extra feature that made it unique, or at least the keyboard layout was a few keys different. Look for brand names such as Yamaha, Sony, Goldstar, Canon, Pioneer, Hitachi, Phillips, Mitsubishi and many more. Also Sega made some attempts of a computer, SC-1000, SC-3000 etc. Some of these are very uncommon, perhaps not on the native market over there, but at least if you're looking for someone who ships internationally. Spectravideo was a part US owned company who also was a forerunner to the MSX standard with the SVI-318/328 and later made fully compatible computers in SVI-728/738.
On the Japanese market, some other US companies also tried to enter by making purely Japanese versions, e.g. Commodore VIC-1001 (which is a Jap VIC-20) or the Japanese C64 - much less common to find than your average US version C64 breadbox.