At the top right of all airport pages there are two buttons
Flight Arrivals
Flight Departures
Each of these will allow you to view ALL aircraft arriving or departing from an airport. This, of course, has some restrictions as it is only valid for public use airports AND the aircraft will have had to have filed a flight plan so they are being tracked. For anyone leaving to catch a flight or picking someone up from the airport, this will have everything you should need.