Here there will be a list of longest, shortest, and other kinds of record games. Unfortunately this forum doesn't have an edit button, so you'll have to look at the most recent posts.
Longest game (By turns): http://warlight.net/MultiPlayer.aspx?GameID=1000123
Longest game (By time): http://warlight.net/MultiPlayer.aspx?GameID=1000123
(1 year, 4 months)
If you know of any games that have beaten the records of one of the above, or have categories to suggest and a game for them, feel free to post them.
Also, shortest games will be ones without surrendering or booting.