If you were to do this, it would have to be huge. Like someone said earlier in the thread, Whisp I think it was you, even a betta wants to be in something at least several gallons.
Walmart sells a fake 'tv aquarium' in their home decor section next to the lava lights and plasma globes. Its the size of a 14" LCD monitor, uses an air pump to bounce around 3-4 brightly colored plastic fish and is only ~1in or less front to back. Seal up all the air gaps with epoxy or silicone and there you go.
Or use a large aquarium, a 40g breeder would be perfect, and build a submersed 'Atlantis' like compartment for a mini-itx system in it. You'd have to duct it and have some decent cfm blowing through that thing and be anal retentive about making it waterproof.
I'm envisioning paul's "Metropolios" mod inside a fish tank. That could possibly work.
And Whisp, anything moving water with an impellor causes that micro mist. Even fully submerged filters or external canister filters. The impellor causes massive pressure differentials on either side of a moving blade forcing any dissolved gas out of solution, its called the "_________" prinicpal (i dont know who its named after, im sure google holds the answers.) Just evaporation wouldn't cause that film to coat the wall behind a fish tank.