some of them still using old Soviet (Tatra) trams: https://www.flickr.com/photos/max_rail_photos_ii/15611270198
I If you have the time, take a trip around the Außenring and see what the East German state did to avoid its trains having to come into West Berlin.
Possibly a typo or missing word, but for the sake of accuracy should clarify that Tatra trams were built in the Czech Republic not the Soviet Union.
Has it still got that old S Bahn coach bar and the burger place? How much has the airport disaster cost now? The BBC rarely mention it.
And I have to say, if rail experiences aren't the only purpose, go to Potsdam and see the Sans Souci palace and gardens. Never realised this was so close to Berlin and it's stunning. You can get a direct DB train, but the S7 S-Bahn has some interesting single track working, which you wouldn't expect on such a busy line.
The old S-Bahn snack car has dissapeared.
Or it had last week when I passed through. The airport struggles a bit to say the least - but quite well managed. Bleak station though. Poor ticket vending facilities with long waiting times unless you buy ahead / or on the airport concourse.
Best to buy your ticket from a vending machine in Arrivals, as you say.
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Hackerscher Markt S-Bahn and Alexanderplatz U-Bahn stations are fine examples of restored infrastructure.
Nordbahnhof also has interesting historical posters/freezes.