An Australian door company carries a product series called Corinthian, that sports a kind-of pivot, but not nearly as offset I had in mind.
Then there are pivot doors with very rustic stiles, like Black Canyon doors. Here is a picture of one of their doors.

Very decorative, kind-of ethnic styled pivots are available from several South African manufacturer - funny that they are so prominently represented here. Examples are Moongard (bit too ornamental for my taste) and K. Parker (too boring).
The only modern style US manufacture I found was Megawood. They only describe a centered pivot, but may be able to do an asymmetrical as well.