Are there nonstop flights from Bari (BRI) to London (STN)?

Yes. Ryanair fly this route. Flight time is about 2h 32m.

What is the fastest connection from Bari (BRI) to London (STN)?

via Basel / Mulhouse ≈ 3h 2m, via Verona ≈ 3h 2m, via Venice ≈ 3h 2m (estimated flying time, excluding layovers).

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

Bari Karol Wojtyła International Airport (BRI) to London Stansted Airport (STN)・1,732 km

Nonstop flights available (1 airline). Flight time about 2h 32m. Nonstop return flights also operate.

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

78 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.