I worked for 18 months as a fire & rescue person at an airport. While it was a real airport (terminal building, check in desks etc) it was a small regional airport, and thus we typically had only 1 or 2 scheduled movements per day.
We had one ATC at the airport (they came and went in 3 month rotations). They were in the tower most of the time monday to friday (during normal office hours) and obviously there for all scheduled flights, day or night - but equally he didn't feel the need to hang around. Plus of course toilet excursions.
We had a traffic-control radio in our office, so we could hear the movements and (on weekends for example) issue a simple phrase like "good morning echo-foxtrot, this is xxxxxx, proceed with unmanned tower approach".
Our section was obviously manned 24/7 so in theory we could hear distress calls as well, but I don't think we ever did. One helicopter made an approach over the hangar, and landed on the hard-stand (not exactly what they're supposed to do) but apparently he'd pretty much run out of fuel. (According to the pilot he didn't turn the engine off after landing - he ran out of gas.)
Indeed - Fraser Island off Australia has a (75 mile long) beach that is officially a public road, with the added regulation that starting and landing aircraft (which offer sightseeing trips) have right-of-way.
