I needed a shallow bookcase to go between fridge side and a doorway opening. I ended up buying an unfinished oak bookcase and the store customized it to the shallow depth I specified. It may have cost a bit more than an off-the-shelf unit, but was definitely pretty reasonable. I just finished it with a couple of coats of polyurethane.

You might look for a jelly cupboard or chimney cabinet, they may be closer to your requirements--and perhaps could be made shallower. I'm pasting an example.

Here is a link that might be useful: Oak jelly cupboard

Another idea: look for media cabinets, they tend to be shallow. Here are some examples:

http://www.amazon.com/Deluxe-Media-Storage-Cabinet-Walnut/dp/B003XI7DLU/ref=sr_1_62?s=furniture&ie=UTF8&qid=1288621883&sr=1-62

http://www.storeyourmedia.com/tall-mission-media-cabinet-solid-oak-veneer-glass-doors-walnut-finish.aspx

http://www.walmart.com/ip/Wood-and-Glass-DVD-CD-Cabinet-Walnut/9894432?sourceid=1500000000000003260370&ci_src=14110944&ci_sku=9894432