Joanna T.
Yelp
Spittelberg was our "go to" area for many dinners, as our apartment was relatively close by. It's a small district, maybe 4-5 blocks total - located right behind the Museumsquartier and entirely pedestrianized.
Back in the day, this was the "red light" district for the soldiers serving the Hofburg palace. Most of the buildings are original, dating from the 18th and early 19th century - so you really get a feel for "old Vienna" here. The streets are cobbled and quiet so you don't feel like you're in the middle of a major city.
During the day, there are cute (and pricey) boutiques, shops and art galleries. At night, there are a good number of restaurants and gasthauses to explore. We especially liked Boheme and Witwe Bolt but there are many more to pick from.
If you're visiting during the Christmas season, the neighborhood hosts a popular Christmas market in the "village square" area.