Create Good Sinks makes excellent sinks that are easy to clean and drain well, the corners are just rounded enough to rinse out and clean easily. I don't think they make a cutting board that covers the entire sink if that's what you mean, but they have a large variety of cutting boards of various sizes and other accessories that fit in the sink. I put two in my new house and was really happy at how they rinse and drain.

Find a sink you like and have it installed with a positive reveal, then get a cutting board cut to fit.

^^ What Ang_p said. That's what I'm doing. I couldn't find one in the right size (to fit a 21" sink base) that had rounded corners & cutting board. You doi need a positive reveal, though.

Taken from the Stone thread linked to from the New to Kitchens thread:

Sink Undermount Options

There are pros & cons for each type of reveal:

• Positive Reveal. The sink shows; granite cutout is slightly larger than sink

  • Pros: Easier to clean b/c you can see the gunk and can easily wipe it off (it only gets nasty if you leave it there)
  • Cons: Silicone (caulk?) is visible, but if they use clear you won't see it when it dries

Negative Reveal. The granite overhangs the sink; granite cutout is slightly smaller than the sink

• Pros: You cannot see the gunk buildup or silicone

• Cons:

  • You cannot see the gunk to clean it.
  • Dirty water/food can splash up & under where you cannot see to clean it. It's difficult to see underneath w/o leaning way over & into the sink.
  • Dishes/glasses have been known to break b/c when you lift them out near the edge of the sink the dish hits the stone counter & can break (or, if the dish wins, the counter could chip...but I'm not sure how likely that is).

Zero Reveal or Flush. Sink & granite are flush or even; the granite cutout & sink are the same size

• Pros:

  • Easier to clean b/c you can see the gunk
  • No platform over or under for the gunk to collect

• Cons:

  • More difficult to do perfectly
  • Silicone is visible, but if they use clear you won't see it when it dries

You will find proponents of all three types of reveals here...but in the end it's what works best for you.