First of all, congratulations on your achievement!
I would recommend checking out the Premium Cabin deal thread in Mileage Run forum...
http://www.flyertalk.com/forum/milea...ium-fares.html
Go to the last few pages for the most recent ideas and discussions. Historically, advance purchase (at least a month in advance) will yield the best premium cabin fares, but in the current economy inexpensive walk up fares are available on many airlines. You can find one-way Business Class fares from major EU cities to the eastern US in the $1,000 or GBP 650 range.
If you are interested in something more than just the shortest one way to the US, check out the Singapore Airlines RTW fares. You get to experience arguably the best airline in the world at a very good price, although some restrictions apply. Applicable itineraries would include LHR (or any EU SQ city)-SIN-HKG/ICN-SFO (or SIN-NRT-LAX) and then JFK-FRA to complete the RTW at a later date.
YEZSQ: GBP 1442.00 (Booked in M) Coach
CEZSQ: GBP 2727.00 (Booked in D) Business
FEZSQ: GBP 4644.00 (Booked in A) First Class
http://www.flyertalk.com/forum/singa...re-europe.html
Also, more on the SQ RTW fare at this link...
http://www.flyertalk.com/forum/singa...-deals-sq.html