I've never seen a set comprised of those 3 knives you named. However, I'm pretty sure you can get 3 knives you picked under 200$. Besides, are you looking for western of Japanese knives? Classic can be either one of them.
If western, then I think Messermeister San Moritz Elite line will fit your bill. The three you named will be approx. ~200. I don't own those, but I bought those for a friend and sharpened them few times. Quality is good, initial edges were considerably better than any Wusthof or Henckel I've ever handled.
As for the Shun set above, I'd skip the utility knife in the middle. In the past, I've bought my share of kitchen utility knives, and eventually figured out that there wasn't much use of them. Somehow, based on utility/hunter knives experience, I thought utility knives in the kitchen would be very versatile too. Not really the case.
P.S. If you get a chance, read Chad Ward's book "An Edge In The Kitchen". Excellent book. I wish he wrote that 10 years ago when I was just starting with my kitchen knives. That'd save a a lot of time and money for me.I had to find out bunch of things hard way and pay for it too