On a BlackBerry Storm or Storm2 it is pretty easy to turn off your connections when you need to do it quickly, however, on BlackBerry devices with keyboards, it does take several clicks which is kind of annoying, especially when you need to turn off your connections quickly. This is where AirPlane Mode from PingDev Ltd. comes in handy.
Airplane Mode is about as simple a BlackBerry application as they come. You simply turn it on or turn it off. The app is about 30K in size and you can download it from BlackBerry App World.