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Photo: Concord, CC BY-SA 3.0 via Wikimedia Commons
St. Anne's Museum Quarter was previously an Augustinian nunnery, St. Anne's Priory. Since 1915 it has housed St. Anne's Museum, one of Lübeck's museums of art and cultural history containing Germany's largest collection of medieval sculpture and altar-pieces, including the famous altars by Hans Memling, Bernt Notke, Hermen Rode, Jacob van Utrecht and Benedikt Dreyer.
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Aegidienkirche
The smallest church in the city.
A natural history museum featuring, among other things, an entire sperm whale skeleton taken from an unlucky whale that died in a beaching incident.
It contains a wooden crucifix by Bernt Notke.
Christmas market
Petrikirche
Its tower platform (which can be reached by an elevator) offers a great view over the city, and if weather conditions allow it you can even see Travemünde (17 km to the north-east).
city hall
Its architecture is a stylistic potpourri reaching back to the 12th century. It is still the seat of the city administration and not a museum, so you can't have a look inside on your own. But there are guided tours every hour or so where the many historic rooms and the gallery of city leaders' portraits are explained (in German and possibly other languages).