Are there nonstop flights from London (LGW) to Reus (REU)?

Yes. easyJet, Jet2.com, TUI Airways fly this route. Flight time is about 1h 49m.

What is the fastest connection from London (LGW) to Reus (REU)?

via Palma de Mallorca ≈ 2h 48m, via Dublin ≈ 3h 18m, via Cork ≈ 3h 20m (estimated flying time, excluding layovers).

from 25,000 JAL miles (economy, one way, based on the published award charts).

London Gatwick Airport (LGW) to Reus Airport (REU)・1,117 km

Nonstop flights available (3 airlines). Flight time about 1h 49m. Nonstop return flights also operate.

With milesJAL 25,000 miles+ (via PMI)Economy, one way, estimate. Tap a connection for miles by cabin.

8 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.