German comedy is not particularly good in general, compared to the great Anglo-American tradition.
One exception, maybe the only, is Hape Kerkeling, whose active phase seems to have been in past decades.
I heartily recommend him and his characters Horst Schlämmer, Evje van Dampen etc to all interested in this rarity of good German comedy. He is not only a jester, but also very talented musically and linguistically, including songs and accent parodies. I gather he speaks English and Dutch perfectly, and probably some of the Romance languages.
Here the wonderful bit of self-deprecating humour, and pretty good accent performance:
Hape Kerkeling - Deutsche im Ausland Petersplatz Durchsage
St. Peter’s square announcement
English
French
Italian
Spanish
Fake Polish/Slavic
Fake Danish/Norse
Dutch
ACHTUNG ACHTUNG!
Can any speakers of Polish and Danish tell if some of it is real, or is it just complete fake gibberish? The others seem to be close to correct, mostly.
Also if someone is aware of other German comedians or bits that are really good, please post.