I too have been looking for something clean and contemporary and along the lines of what you've drawn. I haven't found it either; every time I see one I like on Houzz (or here) it turns out to be custom....

Hope someone has an idea....

Have you dug around on IKEA at all?

Alternatively, have you considered buying under-oven type kitchen base cabinets, but hanging them?

Here is a link that might be useful: something close

I have dug around at Ikea. The godmorgon cabinet is appealing, but not quite right. They also appear to be out of it at the moment at my local ikeas...

I will look into the idea of using some kitchen cabinets!

Builder's Surplus is in my area and it has floating vanities. A few really nice contemporary bamboo and oak vanities that are similar to the one in your rendering.

Kraftmaid has drawers that might suit your design. I found this by clicking Cabinet Specs/:

Cabinet Types
Furniture Cabinets
Furniture Accessories
Furniture Drawer 12" H
The drawer comes in several depths. I'm sure you can find something similar to this in other kitchen manufacturers' lines.

Here is a link that might be useful: furniture drawer