Are there nonstop flights from Billund (BLL) to London (LGW)?

Yes. Norwegian Air Shuttle fly this route. Flight time is about 1h 27m.

What is the fastest connection from Billund (BLL) to London (LGW)?

via Amsterdam ≈ 2h, via Paris ≈ 2h 24m, via Copenhagen ≈ 2h 25m (estimated flying time, excluding layovers).

from 12,000 JAL miles, from 15,000 ANA miles (economy, one way, based on the published award charts).

Billund Airport (BLL) to London Gatwick Airport (LGW)・801 km

Nonstop flights available (1 airline). Flight time about 1h 27m. Nonstop return flights also operate.

With milesJAL 12,000 miles+ (via CDG)ANA 15,000 miles+ (via ZRH)Economy, one way, estimate. Tap a connection for miles by cabin.

11 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.