So if you study in Wuppertal my guess is that you have the so called "NRW Ticket" and can use any train within NRW right?
If you want to see some nightlife and/or culture I think Düsseldorf (I mean Dusseldorf ofc

) is the center of the region right now.You could also check out Aachen, lots of interesting stuff going on there, vibrant student town with ancient buildings and that sort of thing. Oberhausen is also nearby with one of the biggest shopping malls of Germany, called "MetrO". Sounds worse than it actually is - its not much like an american shopping mall I believe (not sure though).
Towns you can skip: Mönchengladbach, Krefeld, Bottrop, Gelsenkirchen
Regarding tourists: I have never been to the Königsee but tourism is rather small in Germany I'd say. Sure, at the popular places like Schloss Neuschwanstein you will have lots of asiens taking photos like its the end of the world, but less popular or bigger places like lakes or forrests its much better. If you don't travel in the main season you could also lower the amount of tourists, plus its cheaper (traveling/renting rooms is rather expensive I believe). Another thing: A lot of tourists are actually Germans - compared to other Euro-Countries we have less foreign tourists.
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On the subjecte of learning German:
I never really understand why one wants to learn german. First of all it is hard to learn because of the lack of logic (unregelmäßige Verben

) and second I think it sounds horrible to non germans. In China I was asked a couple of times why we are always so angry and fighting when we actually had a normal conversation (
elftor comic). And the worst part: there are only a few people that speak german. Wikipedia says 120 million, but I doubt that. A lot of people, especially older people speak only in dialect. And there are many dialects. I can understand most of it, but if too people from Switzerland or Saarland speak fast I am unable to follow the conversation. My own grandmother barely speaks high german, I am not even sure if she is able to..
Anyways, I have teached some chinese students german in the past. There method of learning is..not like the west I guess? Hammer it in till it somehow fits. The result is rather disappointing. The advance fast (1-2 Years and they are able to live in Germany) but once they reach a certain level it seems that most can't go any further, while still doing a lot of mistakes. You can still understand them, but you notice the mistakes anyways. There are exceptions of course
Imo a better way to learn is through media, at least thats what I like to do. Works great if the language you want to learn has a country that produces good stuff, like the US. Lots of good tv-shows (sopranos, the wire etc. pp.), good movies too..music and literature!
Sadly Germany (and China) for that matter don't offer this luxury. I dislike a lot of german movies and music and tv is just awful ("Alarm für Cobra 11"...).
But there are exceptions of course, so here are some tipps what to watch/hear if you want to learn german:
War-movies - they are pretty much the best movies Germany has to offer imo.
Das Boot, Der Untergang (Downfall) or Stalingrad are great. Movies about German history can also be very good, like "Das Leben der Anderen" (the lives of others) or "Das weisse Band" (white collar). Other movies are..not so good, comedy in cinema usually suck. I watched "13 Semester" lately, its comedy and its okay - but not really great (wouldn't watch it a second time).
Music: though one. Some bands might help, like "die Toten Hosen" or "Die Ärzte". Some alternative music is also good (personally I like
Mia). German is really great for hiphop, but I think its even more difficult to understand, if you want to give it a try anyways:
Freundeskreis,
Die Fanatastischen Vier or
Brothers Keepers - the last song is about
Alberto Adriano who was murdered by Nazi Scum
There is also a lot of "ghetto rap", but I have no clue about that (maybe
Sido?)
German literature is also great. Problem is, even most germans are unable to read Kafka..maybe Thomas Mann - Der Tod in Venedig?