Obviously this response will be based on your definition of funny, so here are some Presidential quotes that I have scrapped up (In no particular order). In my opinion, Carter has some real gems.
1 “These stories about my intellectual capacity really get under my skin. You know, for a while I even thought my staff believed it. There on my schedule—first thing every morning—it said Intelligence Briefing.”
—George W. Bush, at the 2001 Gridiron Club dinner
2 “I don’t know whether it’s the finest public housing in America or the crown jewel of the American penal system.”
—Bill Clinton, on the White House
3 “He can compress the most words into the smallest ideas better than any man I ever met.”
—Abraham Lincoln, coining one of the first lawyer jokes in American history
4 “When they call the roll in the Senate, the senators do not know whether to answer ‘present’ or ‘not guilty.’”
—Teddy Roosevelt
5 “It was absolutely involuntary. They sank my boat.”
—John Kennedy, answering a boy who asked how he became a war hero
6 “My esteem in this country has gone up substantially. It is very nice now that when people wave at me, they use all their fingers.”
—Jimmy Carter
7 ''Did you ever think that making a speech on economics is a lot like pissing down your leg? It seems hot to you, but it never does to anyone else.''
—President Lyndon Johnson
8 "If you want a friend in Washington, get a dog." – Harry S. Truman
9 "I have often wanted to drown my troubles, but I can't get my wife to go swimming." – Jimmy Carter
10 "If this is coffee, please bring me some tea; but if this is tea, please bring me some coffee." – Abraham Lincoln