It was Christmas time, and we were at my mother-in-law's house for the holiday, when she received a call. The person on the other end claimed to be my nephew, calling grandma because he had gone for a joy ride with friends and gotten in an accident with the car. (He didn't quite have his license yet, so it was possible, even if slightly out of character.) He said he broke his nose, to explain why his voice sounded funny, and that he was calling from the police station to get bail, but was too embarrassed to call his dad. He wanted to explain what happened face-to-face with his parents, not over the phone.
The acting was very convincing, and really did almost sound like my nephew... with a broken nose. While my wife kept trying to ask questions about what police station he was at, etc, I called his parents on my cell-phone, and found out my nephew was sitting at the breakfast table with them. Before I could relay that however, the scammer must have gotten tired of my wife's questions, because he said the police were taking the phone away, and that his court appointed lawyer would call us back shortly. (We never got the second call from the "lawyer.")
On my side of the family, my mother almost was caught by an overseas bail extortion call. A cousin of mine was travelling in China, where the call claimed a relative was being held. My mother actually got to the credit union to withdraw the money, where the teller (who knows her) stopped her from doing so. I only heard about that one after the fact.
My wife got called by a Nigeria scam (sort of). The person claimed she had won a car in a drawing, but needed her to wire the sales tax for the vehicle. Coincidently, she had recently put a ticket in a drawing at the county fair, so there was a possibility, but a bunch of things didn't pass the "smell test." She kept asking questions, and the final clue was the phone number which the scammer gave for her to call back once she had purchased a Green Dot money card. The number was from one of the Caribbean islands which have an area code like a US call (not an obviously international call), but since it wasn't local, my wife looked it up. (We later got a sales call from a local travel agent regarding the county fair drawing; we didn't win the car, but could visit a timeshare if we wanted.)