Munich is usually recognised for Oktoberfest and sometimes for its Nazi connections, but on a short trip there I found the capital of Bavaria had much more to reveal.

The main square, Marienplatz, is dominated by the (new) town hall, a fantastical work of (neo) sondergotik by Georg Von Hauberrisser. The old town hall remains on another side of the square.
Bavaria was a semi-independent state inside the Holy Roman Empire for around 1000 years, and its monarchs ruled from the Residenz. Nowadays, the Duke Of Bavaria (also a Jacobite claimant to the British throne) resides at Nymphenburg Palace.
The treasury at the Residenz holds an astonishingly large collection of relics (including one of John The Baptist's heads) and other treasures including the royal regalia. The only other treasury I know of that comes close is that in Vienna.
The Haus Der Kunst and the Führerbau were built by the Nazis. The wild patch next to the Führerbau is the site of the Ehrentempel that was built to commemorate the Beer Hall Putsch.
Königsplatz is surrounded by two museums and a monumental gate, all by Leo Von Klenze. He also designed the Ruhmeshalle behind the Bavaria statue and the Walhalla in Regensburg.