Here are a list of Macs that had the 68040 http://www.everymac.com/systems/by_processor/68040.html

Macs are not that interesting as there aren't a lot of, to me, interesting things made for them.

The Amiga 4000 had an 040 version, the 4000/040.
You could also upgrade various Amigas with a Turboboard with an 040 or 060. An Amiga 1200 with an 060 turboboard is one of the de-facto standard platforms in the demoscene.

Amiga, Atari ST, and NeXT

FuzzyLogic wrote:

Atari ST

Atari ST was never sold with an 040 or 060, but there are turbo boards for certain models (mainly Falcon, can be upgraded to 060).

FuzzyLogic wrote:

NeXT

NeXT had some 040-based models, but no 060-based ones. Not sure if there were turbo boards for these machines.

There was also the post-Commodore Amiga 4000T/060.

Any Japanese computers besides those?
I mostly knew about Amiga models and Macintosh computers.