There are many traditional bars in Lübeck, but if you're after a bit of international "big city" vibe, Cole Street - Bar Cafe Gallery - on Beckergrube 18, right next to the theatre, is a great find. Cool design, music and regularly changing contemporary art exhibitions. Check colestreets site (http://www.colestreet.de) for their latest info. You might also want to check out NUI, the great Thai & Japanese Restaurant at the bottom of Beckergrube. For gazing into the Sun on a lazy afternoon try out Deja Vu at the Untertrave. It's located directly at the water and a common drinkinghole for many lubecians after a hard work's day. You can get pub grub here.