Are there nonstop flights from Tallinn (TLL) to Rhodes (RHO)?

Yes. AirBaltic fly this route. Flight time is about 3h 31m.

What is the fastest connection from Tallinn (TLL) to Rhodes (RHO)?

via Vilnius ≈ 4h 2m, via Istanbul ≈ 4h 2m, via Riga ≈ 4h 2m (estimated flying time, excluding layovers).

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

Lennart Meri Tallinn Airport (TLL) to Rhodes International Airport "Diagoras" (RHO)・2,569 km

Nonstop flights available (1 airline). Flight time about 3h 31m. Nonstop return flights also operate.

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

39 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.