Want to improve my german comprehension and listen to some funky beats at the same time. I prefer synthpop, alt-rock, folk pop (picture sufjan stevens), house, edm. Some artists I know are wir sind helden, stereo total, glasperlenspiel, einsturzende neubauten, ELIF, juli, kraftwerk
Hans Söllner is a Bavarian folk singer who sings in the Bavarian dialect. If you only know high German understanding him can be a challenge. Hans Söllner - A Drecksau bleibt a Drecksau
The author and satirist Marc-Uwe Kling makes some nice indie-rock
Others has already recommended Swiss + Die Andern but here is a link to another song: SWISS + DIE ANDERN - ORPHAN
Everybody hates Nazis: KAFVKA - Alle hassen Nazis
If you like industrial music you've got to know Die Krupps: Die Krupps - Schmutzfabrik
IFA Wartburg was a Swedish GDR-themed ska/punk/bossanova band from the late 1990's
Georg Kreisler (1922-2011) was an Austrian anarchist cabaret composer with a satirical style not unlike that of Tom Lehrer but with more political edge:
The explicitly communist group Kapelle Vorwärts makes punk/ska covers of traditional labour movement songs:
No list of recommendations of German leftist music would be complete without Commandantes which was a predecessor to Kapelle Vorwärts