For a forced-air furnace, I put a hinged piece of cardboard over a room vent with a paperclip switch. When the furnace blew, the cardboard would rise and the switch would open. Simple and effective. It doesn't measure the burn cycle of the furnace exactly, but it was close enough for me.
With multiple outdoor microphones I'd love to build a ShotSpotter, but I'm not good enough at audio to know how practical that is.