I'm going to focus on Berlin events.
As Tom notes, the Erik Larsen book is excellent.
A local history professor encouraged me to read memoirs in addition to history prior to my first trip to Germany. German Boy by Wolfgang Samuel became my favorite book. It recounts the author's experience as a German kid from his 10th birthday shortly before the end of the war to his 14th birthday near the end of the Berlin Airlift. Most of that time was spent as a refugee. The book offers good insight into the German post-war experience.
That brings us to The Candy Bombers: The Untold Story of the Berlin Airlift and America's Finest Hour by Andrei Cherny. It covers the Airlift in a very readable fashion, including the story of a personal hero of mine, Gail Halvorsen, who began dropping candy to the children of Berlin. I don't find the subtitle to be hyperbole; the Airlift was indeed among the US's finest moments.
Berlin 1961: Kennedy, Khrushchev, and the Most Dangerous Place on Earth by Fredrick Kempe. What a great book. So much insight into Kennedy, Khrushchev, their relationship and Cold War politics. Tanks face off at Checkpoint Charlie. Berlin Wall goes up... much to the relief of JFK because it seems to solve his Berlin problem... but that relief turns to heartbreak when he sees the Wall on his trip to Berlin. His short Berlin speech is among the free world's greatest; watch it here.
Finally, The Collapse: The Accidental Opening of the Berlin Wall by Mary Elise Sarotte, which walks through the events leading up to the quite accidental opening of the Berlin Wall due to an East German bureaucrat/spokesman missing a meeting. If you read the book, make it more real by looking up and watching video of the events it describes on Youtube.
I started to recommend related sites to see in Berlin for each book, but it made for too long of a post!
Off topic, but If you have interest in a superb private guide in Berlin, I can't recommend Robert Sommer highly enough. Fifteen-year-old son of a fairly high-ranking East German bureaucrat at the time the wall fell. One of the first US-DDR exchange students, coming to the US with a red mohawk and leaving the US with red/green/black dreadlocks. Punk rock squatter as a young adult who fought in the streets with neo-Nazis. Earned a PhD -- his thesis dealt with prostitution in concentration camps. Married to a former member of Parliament. Super interesting guy. I've done everything from a basic Berlin tour with him to an architecture tour to exploring Spandau (the area his wife represented) to exploring an abandoned Soviet military complex to wandering around inside Soviet bunkers that stored nuclear warheads. http://thetrueberliner.com/