Most major airlines have put flights to Europe on sale today with a price range between $501-$669. Flight dates are mostly between August and February of next year. Smaller airports will have more stops or worse routing than major airports.
Expect the prices in the list below to fluctuate +/- $30. Competing airlines will match, un-match, and move prices around when they have sales to the same region. Those price changes can happen multiple times a day.