Richard Evans' three volume work on the third reich is excellent, magisterial, in my opinion. the Coming of the Third Reich, the Third Reich in Power, and the Third Reich at War. The first volume covers the entire period from German unification in the 1870's up to the take-over in 1933, also including Weimar politics in the 20's. Another book that might be interesting in this regard is Taylor's The Downfall of Money: Germany’s Hyperinflation and the Destruction of the Middle Class. I have not read this book, but it looks very interesting and reviews well.
Tooze's The Wages of Destruction: The Making and Breaking of the Nazi Economy is an economic overview/history of the third reich. I have not read this book either, but it looks interesting and reviews well.
Two books, on particular topics of more peripheral interest, which I though were very good: Powers' Heisenberg's War: The Secret History of the German Bomb Pringle's The Master Plan: Himmler's Scholars and the Holocaust. The last one sounds like it might have a lot of overlap with the book by Browning(which I have not read).