They make 'em: http://www.directron.com/pc75.html

What about that gaping big square-foot hole in the side?

I have even seen an all stainless steel case which is used around
food

The old "PC Power and Cooling" all-metal-tower used to be good (I think
it was available in chrome!), but they don't sell them anymore
(probably because they cost several hundred $).

I'm not looking for anything particularly stylish. Just a case without
big holes covered by plastic.

Tim.