Are there nonstop flights from Oslo (OSL) to London (STN)?

Yes. Ryanair fly this route. Flight time is about 1h 51m.

What is the fastest connection from Oslo (OSL) to London (STN)?

via Aarhus ≈ 2h 30m, via Amsterdam ≈ 2h 30m, via Gothenburg ≈ 2h 31m (estimated flying time, excluding layovers).

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

Oslo-Gardermoen International Airport (OSL) to London Stansted Airport (STN)・1,141 km

Nonstop flights available (1 airline). Flight time about 1h 51m. Nonstop return flights also operate.

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

32 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.