The way to get to the U.K. in style is to take one of the new all-business-class airlines.

Quoting from a New York Times article that I saved:

MAXjet (www.maxjet.com), Silverjet (www.flysilverjet.com) and L'Avion (us.lavion.com) — offer round-trip ticket prices starting in the $1,400-to-$2,000 range, including taxes, with occasional sale fares that are lower. Eos (eosairlines.com), offers more of a first-class ride between New York and London, and its fares are priced to match that level of service, starting at $3,280 round trip. (Booking at the last minute, of course, could result in significantly higher fares.)

I've never had the chance to fly any of these airlines, but one of these days, the stars will line up properly and I will.