Delta and United Airlines are skirmishing over fares from several California airports to Stockholm, Sweden, for August departures. A fare war including American Airlines is continuing for flights from New York to Scandinavia. Iberia Airlines is in the fight also.
Check the airline websites, Google Flights and/or your favorite online travel agency (Expedia, Priceline, Travelocity, etc.) to see what is available. Look for round-trip fares in the $300s from the East Coast and the $600s from the West Coast.
For example, if you are Platinum of American Airlines you can become Gold on Delta. Or, if you are Premier Gold on United you can become Gold on Delta. According to the official rules a status match is a one-time thing and is good for 90 days, or all the way to January 31, 2018, if you meet the associated flight requirements.
Back in May United and Delta began offering low fares to Europe from American Airlines’ major hub, Dallas-Ft. Worth. Those fares disappeared, but now they have re-appeared. Austin and San Antonio are included. Many cities in Europe are available.
The air fare war for flights from the United States to Europe continues, with some routes on some dates still available. Low fares are available from several U.S. cities to several European cities on American, Delta and United Airlines.