Are there nonstop flights from Birmingham (BHX) to Sofia (SOF)?

Yes. Ryanair, TUI Airways fly this route. Flight time is about 3h 3m.

What is the fastest connection from Birmingham (BHX) to Sofia (SOF)?

via Munich ≈ 3h 33m, via Frankfurt am Main ≈ 3h 33m, via Cologne ≈ 3h 33m (estimated flying time, excluding layovers).

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

Birmingham Airport (BHX) to Sofia Airport (SOF)・2,161 km

Nonstop flights available (2 airlines). Flight time about 3h 3m. Nonstop return flights also operate.

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

52 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.