Are there nonstop flights from Fuerteventura (FUE) to London (LGW)?

Yes. easyJet, Jet2.com, TUI Airways fly this route. Flight time is about 3h 46m.

What is the fastest connection from Fuerteventura (FUE) to London (LGW)?

via Lisbon ≈ 4h 16m, via Santiago de Compostela ≈ 4h 17m, via Nantes ≈ 4h 17m (estimated flying time, excluding layovers).

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

Fuerteventura Airport (FUE) to London Gatwick Airport (LGW)・2,771 km

Nonstop flights available (3 airlines). Flight time about 3h 46m. Nonstop return flights also operate.

With milesANA 15,000 miles+ (via LIS)JAL 15,000 miles+ (via MAD)Economy, one way, estimate. Tap a connection for miles by cabin.

40 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.