Lastminute.com offer last minute travels(whatelse could they offer with that name) and since most of their long haul flights are with either SR or SN this could be some easy miles for you. Right now they offer

ARN-AUH for 2938SEK (7786 miles)
ARN-BKK for 4819SEK (13046miles)
ARN-JNB for 3787SEK (12306miles)
ARN-SFO for 3596SEK (13486miles)

The only problem with lastminute.com is that you dont know which airline you are flying before you have booked it. They do give you all times so its not hard to find out which airline it is, I am normally using amadeus.net to find out. If anyone wonders, No I am not working for lastminute.com