My favorite is when I get called out after Harry Homeowner has already attempted to fix whatever it was. I have to figure out what he did and put it back the way it was before doing the troubleshooting. Even better is when they won't admit to ever touching it. "It just happened" they say. For example, I had a service call where the bedroom light wouldn't work, but shutting the switch off caused the breaker to trip. After getting there, before I even looked at it I asked if anyone messed with it. Nope, it just started happening the day before yesterday. The first thing I saw upon entering the bedroom was white plates over ivory receptacles and a white switch plate mounted over an upside down white switch. I asked who changed the switch and of course the answer was nobody, I've lived here 10 years and it's always been like that. When I turned the switch over I dropped one of the screws but when I bent down to pick it up I came up with two 6-32X3/4 screws, only one of which was modern, the other was an old slotted head. I handed him the old screw, telling him that either nobody has ever run a vacuum, or someone changed the switch and by the way, the switchleg terminal was shorted out against the side of the box, flipping it down was actually turning it on. $300 please. Another time, the last contractor I worked did home warranty work and I got sent out for a ceiling fan that all of sudden quit. I got there and asked the woman that lived there where the switch was. She pointed to a single switch at the front door. I thought that was weird since that should have been the outside light. I turned the switch on and the fan did nothing so I climbed the ladder and dropped the canopy to find no wires at all. Someone had screwed the fan to the ceiling and thought the warranty company would take care of the rest. Of course further questioning led to nothing but denial and more lies so I just left but on the way out noticed the outside light was on.
EDIT: I was wrong about the switch, I got that job mixed up with another. The switch was upside down, but the hot wire was wrapped around the screw with the switchleg stabbed on the same terminal. The ground wire was wrapped around the other screw. The light had a burned out bulb.