British Airways is offering some super package deals including round-trip flights plus hotel for winter/spring.
Searching BritishAirways.com, we found travel for two departing JFK on February 3, returning from LHR on February 9, with a 5 night hotel stay, all for $2,086 total, or $1,043 per person. That's often the price of airfare alone, making this airfare+hotel offer a pretty sweet deal!
You'll find other hotel options listed by star rating and location, with some a tad higher than others.
Similar deals are available from other US departure cities.
All bookings must be made by January 28.