Is there such a thing as "business class" on U.S. trans-continental (SFO to New York) flights? I know when flying to Singapore, Hong Kong, Sydney, or Aukland, you can actually sleep recumbant in reclining seats. Any thing like that inside 3000 mile flight?

It's going to depend on the airline and the plane you end up on. If you are on a flight which is continuing internationally, of course, it will be a larger plane with business class. Most of the small airlines don't have a business class, but their first class seats aren't quite as expensive as first class on larger planes. They don't lie flat, but you will get more leg room.

I like to use farecast: Cheap Flights, Airfare, Airline Tickets, Cheap Travel, since I usually don't care which airline I fly on, and sometimes my dates are flexible. You can select cabin class when using their search option.

Check out this link too, it compares first and business class cabins on different airlines: Business Class Comparison Chart