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Depends on your liking and who you are with. I love taking people to the Vasa Museum: http://www.vasamuseet.se/en/
With the whole Stig Larsson phenomena, it is now very popular to follow in the footsteps of the books: http://www.visitstockholm.com/en/To-Do/Tips/Stockholm-in-Millennium-thrillers-footsteps/
A walk to Old Town (Gamla Stan) is always worthwhile, and for a late afternoon and early evening drink I would recommend the Gondolen Terrace with spectacular views of the city and the archipelago: http://www.eriks.se/start.asp?h=87 There is an open air bar on top of the building, and they know how to make wicked drinks!