What's the best way to develop a sideswipe menu like the one in Facebook's new iOS app?
There is a great library for this by Tom Adriaenssen: Inferis/ViewDeck
It's very easy to use and has a fairly large following.
EDIT:
For something a little more lightweight, check out: mutualmobile/MMDrawerController
It doesn't have all of the features of ViewDeck but is simpler to modify and extend.
I created a library for this. It is called MFSideMenu.
Among other things it includes support for iphone+ipad, portrait+landscape, menu on the left or right side, UITabBarController, and pan gestures.
I recently came across this, didn't actually look at the code or test the control, but looks like it may be a very decent starting point.
jtrevealsidebar
Edit: The reader should also take a look at the other answers :)