Short of building shelves for multiple standard dish racks I haven't seen anything. There is no cabinet above the space next to the sink so height isn't an issue, but the space isn't much bigger surface wise then a standard dish rack from Target.
Sent by LauraEditor: Laura, have you considered a wall-mounted rack like the one pictured above? That rack is from a British company, but they are willing to ship to the US.
• Traditional Wooden Plate Rack, £60.72 at Design Woodcraft.
Other than that, this dish rack might also get getting a little closer to what you're looking for.
Readers, any other help for Laura and her boyfriend's stack of dishes?
(Image: Design Woodcraft)