American Airlines currently sells seats from Seoul to Atlanta (via Dallas) for just $300 round trip. That's an amazing fare – even if you just use it as a one way from Asia and throw away the return (I would not recommend that though!)
Note that it does not work in reverse from the US to Asia.
Delta and Icelandair have loaded some great fares for summer travel from Copenhagen (Denmark) CPH to Boston and New York.
From the US to Scandinavia, fares start from $1,885 in business class with a (free) stopover in Reykjavik.
We featured amazingly cheap flights from Atlanta and Denver to Hong Kong earlier this week and now it is the West Coast's turn.
You can find that deal by stopping by at the Kayak Explorer (we use this one a lot at MightyTravels) and look for flights from Seattle (SEA) for as low as $455.
Booking award tickets always seems to be a race against time because of miles devaluation and changes to award rules. Lots has changed since my last list of favorite mileage redemptions and flight awards.
Gary points me to this 'unannounced United award sale' that allows you to fly to Europe in business class for just 57,500 miles (one-way) instead of the usual 70,000.
Flights from the continental US to Europe are 57,500 in January, February and March 2015.