In Berlin (and other German cities), you'll see shiny brass blocks in the sidewalk on occasion. Here's the story behind them:
‘Stumbling Blocks’: Germany’s Decentralized Memorial for Holocaust Victims
In many regards, Dresden is a new city. It was carpet bombed during World War 2 (but as my German friend says, they had it coming). Many buildings have been rebuilt and/or painted to look old, but they are a few decades old. The communists didn't care much about cleaning up after WW2, so many laid in piles untouched for decades. Reunification changed things. Look at this church:
Timeline of Restoration: The Frauenkirche church, Dresden.
In college before German reunification I was able to travel to the communist side of Berlin and Germany. What the communists didn't have was incredible. I was a college student, wearing Levis, new adidas shoes, with a camera strapped around my neck. 99% of the cars were Trabants. I felt like a monkey in the zoo the way people were staring at me. They were in lines for food. Stores with beautiful store fronts like you see in Paris barely had any goods in the window, with few things available. I got to hear propaganda. Checkpoint Charlie wasn't the place you'll see now- there's a McDonald's probably 25 yards away today. You'll see DDR stuff for sale, and some younger people (who were born after reunification) have ostalgie (similar to what we call 'nostalgia,' but there it's a longing for East Germany- ost is German for east). They have no idea what communism was like. A friend's mother escaped from East Germany, and it's not where one wanted to live.
I don't know how much time you have, but tour the factories and museums of Mercedes, BMW, and Porsche. The Mercedes museum is incredibly impressive- their collection is amazing and you don't realize what all they've made over their history.
Go for a ride on an
unlimited autobahn. Those are generally a distance from large city centers. The Greens have been trying to do away with the unlimited autobahns for years, and they may eventually get their way.