I went to Vienna this summer and loved it. I don’t think we did much ‘off the beaten track’ but the things we did love were:
Vienna Pass - a tourist card which you pay up front and then gives you free tickets to lots of attractions. We found we wanted to see small bits if lots of things and this allowed us to dip in and out of lots of places without worrying about the cost too much.
Klimt at the Belvedere - beautiful paintings, Impressionists at the Albertina, Heidi Horton gallery - all fabulous art exhibitions.
National library - beautiful building
Hundterwasse building - inspiring art and architecture
Prater - surprisingly good fun for an evening and the beer and sausage restaurant is surprisingly good and quite cheap
Figmuller Backstrasse - get a reservation as there’s always a queue, they were the best Weiner schnitzel we had all week.
Yori - Korean bbq restaurant
candlelit Mozart concert in an old church - just beautiful!
Things we didn’t enjoy - we did a 1hr cruise on the Danube canal that was disappointing, there’s not much to see except a lot of graffiti…. The Naschmarkt was also a letdown - we had our only poor meal there and there wasn’t much atmosphere, but maybe we just chose poorly.
have a great trip!