There's a German law which says all commercial webpages have to say who runs it.
2. Assuming you're referring to the Telemediengesetz, there's a second law (Medienstaatsvertrag) which mandates an imprint for anything that's not strictly for "personal or family purposes". Depending on who you ask, those two terms also require a rather narrow reading, so anything beyond a strictly private family diary (careful not to make references to any outside persons or businesses, though, because those entities will then have a legal interest in being able to identify you in case you malign them!) or family pictures or your private Dropbox replacement (ideally all the above should be password-protected and therefore not accessible by the general public anyway) might again already be in a grey area.
2b. Additionally, blogs can enter another grey area where depending on what and how you're blogging about, they might be classified as a journalistic service offering and therefore require an extended imprint, too.