I've discovered a lot of German-language films on Netflix that are available on DVD. But I haven't found any that are available for streaming. Are there any German-language films on Netflix available for streaming? Kind of like how Amelie is available for streaming in French?
Yes. This link will show you streaming Netflix films that have a German audio option: https://www.netflix.com/browse/audio/de
You just have to log in. You can also select other languages if you're interested, but this link goes directly to the German list.
I don't think there's a Netflix lookalike for German movies. You can watch German productions on the websites of some TV channels though.
As far as I know, you can watch the more recent episodes or movies there.
You might try ARD or ZDF: on their websites, look for "Mediathek" or "Sendung verpasst".