Jazzkantine
(http://www.jsl.ch/kantine.htm), quite small but comfortable bar. they have a stage in the basement. sometimes there are jazzists playing 4 to 8 times a month. in the same building is the local jazz school, so it's a kind of student bar.
Sedel
(http://www.sedel.ch/), the place where punk rock goes on. in the 80s it was the place the youth rebellion went on. unfortunately it lost a bit of its idealism, nevertheless it's still the club of mothers don't want to let go their kids. today there are a lot of concerts from ska to britpop to postrock to gothic. the building is an old women jail and was converted to music practice rooms for bands in the 80s. there are about 60 bands rocking and practicing their sets. so, if you'll here some noise somewhere in it, just knock at the door an come for a jam session.
Rathaus
Simply the best beer you will ever have in your life. brewed only at this small restaurant/brewery. get the specialty beer. you will not be disappointed.
Bar 58
Nice neighborhood bar on klosterstrasse.
Bar 59
Newly opened by the former owners of bar 58, larger and has live music venues as well but still has a neighborhood bar feel - on industriestrasse, hidden in the basement of a warehouse looking building.
Treibhaus Luzern
(http://www.treibhausluzern.ch), small but cool alternative club. they have cheap food 2 menus each day too.