In Bavaria, you'll find lots of interesting stuff even without looking very hard. It is Tourist Germany, Inc, and they do it extremely well.
There's lots of stuff to do in and right around Munich, but you want that tourist Germany in and around the Alps. Lederhosen, dirndls, and funny collars on the cows. And half-timbered buildings, many with murals.
Top of my list is Rothenberg, on the Romantische Strasse:
https://www.ricksteves.com/watch-read-listen/read/articles/germanys-fairytale-dream-town-rothenburg
Steves is right about the nighttime, but you can easily daytrip it from elsewhere.
There's a large crowd in the square when the clock strikes noon and two carved figures pop up celebrating Rothenberg's survival with thousands of French troops at the gate. (Hint-- it was a beer drinking contest that saved them) They've spent a fortune keeping this a medieval town, although they do have electricity and running water now-- but that's about it.
Oberammergau is another one. Don't go there if the Passion Play is on, but at other times it is still a quaint little town with good shopping. There might still be farmers running their cattle through the town to get to grazing patches, but that may have stopped by now. And the Painted Houses. Everybody's amazed by the painted houses.
Mad Ludwig's castles shouldn't be missed. Neuschwanstein is the one Disney copied, and you get up there by walking or horse-drawn buggy. The Wittlesbach family is still around and has most the furniture and treasures tucked away, but the castles have been given to the state and are open to the public. Ludwig is reputed to be a dismal result of inbreeding and as dim as they come. He bankrupted the treasury with things like castles, and the generally accepted rumor is that his mother, or some other relative, had him killed. Back then there was no impeachment, and if the family ok'd it, assassination was the only way out of a bad king.
That should be a start for southern Germany. Italy, I'm sorry-- I've been there but have little advice to offer.
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