@phx

An Efika case can be bought with the motherboard but not seperately.
http://www.directron.com/efikakit1.html

It will be tough to find an Efika case. You will probably have to modify one yourself.

The Efika measures: 118mm x 153mm. Mini-ITX is 170mm x 170mm.

Meaning that you should be able to fit an Efika in a Mini-ITX case. Though you will have to modify it. Or you can put it into a modified MicroATX which will give you more room & make it easier.

Nano-ITX motherboards measure 120mm x 120mm and so the case would be too small to use.

Or, you may be able to gut something out. Like an old DVD player, Nintendo game console,.... And get it to go in there & then create a face plate for it. etc.