If you are tight for time take the express train over the bus. Its only about 20 mins.
Some stuff I got from a work colleague.
- Gamla Stan (Old Town), good for a walk, cafes and a few bars. Beware of the more touristy roads and find the little back streets. The royal castle is there too but I personally think it’s quite dull
- Catch a free ferry from Skeppsbrokajen (east side of gamla stan)/Slussen (the lock) to Djurgarden, nice view from the water. Djurgarden has the ‘Grona Lund’ amusement park and the ‘Vasa’ museum (http://www.vasamuseet.se/en/), which is well worth a visit I have been told
- Mosebacke/Sodra teatern, nice bar/restaurant/venue, often good live music and a great view from the 7th floor, which is a cocktail bar - http://whatsupsthlm.se/isthlm/sodra-teatern/200/
- Sturebadet/Centralbadet (http://www.sturebadet.se/sturebadet-...301-start-page or http://www.centralbadet.se/). Two grand old spas in the centre of town if the weather is rubbish
- Other good venues for live music that could be worth checking out are Tradgarden (http://whatsupsthlm.se/isthlm/tradgarden/203/) and Debaser (http://whatsupsthlm.se/isthlm/debaser-medis/66/) but not sure what they are like these days
- Sturecompagniet is the biggest club in town (on Stureplan) but personally I’d avoid it
- The Modern Museum is on a small Island close to Gamla Stan (annoyingly you have to double back on yourselves to get out there though) http://www.modernamuseet.se/
- Ostermalm is a pretty good area for walking around in town, especially if you are into Scandinavian design/furniture shops but I suspect there may not be much time for that
- Restaurant Tranan used to be a lovely little restaurant/bar straight up from Hard Rock Café in ‘Vasastan’. Could be pricy now though, http://www.tranan.se/