Travel1000Places.comYou will find restaurants, bars, cafes in many neighborhoods (in German called 'Stadtteile') and always in Downtown. German cities are walking cities, so is Lübeck.
Popular spots are:
Downtown around the Marktplatz (Old Town) / Town Hall.
Please see our 'Food & Drink' | a link list with restaurants, bistros, cafes, pubs, etc...