Mark Harrison served as editor for The Economics of World War II: Six Great Powers in International Comparison (ISBN 0521620465).
The chapters, each focussing on one great power and about 40 to 50 pages in length, are as follows:
The United Kingdom: 'Victory at all costs' (Stephen Broadberry, Peter Howlett)
The United States: from ploughshares to swords (Hugh Rockoff)
Germany: guns, butter, and economic miracles (Werner Abelshauer)
Italy: how to lose the war and win the peace (Vera Zamagni)
Japan: guns before rice (Akira Hara)
The Soviet Union: the defeated victor (Mark Harrison)
If you're specifically interested in Nazi Germany, try Adam Tooze and his The Wages of Destruction: The Making and Breaking of the Nazi Economy (ISBN 9780713995664).
Tooze dedicates the first part of the book to the Nazi economic recovery, and then the second one to the war economy.
Tooze also assisted Michael Geyer with Total War: Economy, Society and Culture (ISBN 9781107039957), the third volume of the Cambridge History of the Second World War.
This one is split into the following parts, each some 200 pages long:
Political Economy (Adam Tooze, Jamie Martin, Gregg Huff, Jeffrey Fear, David Edgerton, Lizzie Collingham, Michael Miller, Cathryn Carson, Chris Pearson)
The Social Practice of People's War: 1939-1945 (Richard Bessel, Yasmin Khan, Rüdiger Hachtmann, Jochen Hellbeck, Geoffrey Cocks, Adam Tooze)
The Moral Economy of War and Peace (Sabine Frühstück, Jeremy K. Kessler, Devin O. Pendas, Stephen Porter, Mark Philip Bradley, Timothy B. Smith, David C. Engerman, Rana Mitter).
If you speak German, Heinrich Schwendemann does an interesting piece on German-Soviet economic cooperation all the way up until Barbarossa, titled Die wirtschaftliche Zusammenarbeit zwischen dem Deutschen Reich und der Sowjetunion von 1938 bis 1941 (ISBN 3050023821).
Alright, that's three (+1) good entry works for now. It's a rather broad topic, as you might imagine, so feel free to ask follow up questions.
A few entries in our booklist are relevant for you.