Are there nonstop flights from London (LHR) to Willemstad (CUR)?

No. The fastest connection is via Punta Cana, about 9h 56m of total flying time.

What is the fastest connection from London (LHR) to Willemstad (CUR)?

via Punta Cana ≈ 9h 56m, via Amsterdam ≈ 10h 39m, via New York ≈ 11h 17m (estimated flying time, excluding layovers).

from 35,000 ANA miles, from 37,000 JAL miles (economy, one way, based on the published award charts).

London Heathrow Airport (LHR) to Hato International Airport (CUR)・7,467 km

No nonstop flights. The fastest connection is via Punta Cana (PUJ), about 9h 56m of flying time (layover not included).

With milesANA 35,000 miles+ (via EWR)JAL 37,000 miles+ (via MIA)Economy, one way, estimate. Tap a connection for miles by cabin.

None.

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.