What I did: all the expected first-time tourist things
• A 3 hour Archipelago Tour was a lovely way to spend my first evening. I was already delighted with Stockholm!
• The Hallwyl Museum - oh the lifestyles of the super-rich, this lovely mansion houses Wilhelmina von Hallwyl’s expensive collections.
• Skansen
Tip for crowds: I entered near Arturs Café, not the main entrance; I bought the (cheap) ticket to take the funicular up to the top, which put me up in the animal zone of the park, long before the school group and tourists arrived up there.
• Vasa Museum - despite the high praise for this museum, my expectations for myself were low; I was surprised by how much it captured my interest!
• City Hall Tour and went round and round, up and up, to the top of the Tower for the views.
• Nobel Museum - I paid for the 45 minute guided tour and enjoyed that, perhaps more than the exhibits.
• Drottningholm Palace - followed the excellent forum advice to take the ferry to the Palace and the bus back, with a stop at the café before I left.
• Gamla Stan historical walking tour that ended at the Palace, just in time for the changing of the Guards.
• Nordic Museum - you could spend multiple days; the website has suggestions for how to spend a few hours, a half day or a full day; I used the in-depth audio guide to visit the Top floor - "Nordic life" - then breezed through the other floors.
• Uppsala - this was a lovely day trip away from the big city, which started out with a proper Swedish Fika by the river with forum member Sandancisco. That was a perfect day already! After services ended, we toured the 2 lovely old churches, and watched as bicycle racers sped around the curves, again and again. We walked through the Botanic Garden and had a lovely outdoor lunch at their café.
Meeting friends in Uppsala was the perfect way to spend a day out of Stockholm!