Business Class
You could check out Air India - to New York and Chicago from LHR. Used to fly their first class every three weeks for long weekends in NYC at the end of the 90s. Then - through a bucket shop (£1100 return) - but people like travelbag.co.uk are offereing first class in Air India for £1920 return now. Kuwait Air £1406 (but no alcohol). Air india FC is great - sleeper beds and the rest. The planes are occasionally late coming into LHR from Mumbai but if you have no pressing need to be somewhere exactly on time ...
If you are going to the West Coast try Air New Zealand Business Class through the likes of Travelbag (there are others - just google.co.uk for "cheap first class fares to USA).
Hope this helps.