No on-the-road flats in recent years. (sound of rapping on head) Very lucky boy!
Have had/discovered a few flat tires in the garage, though. Couple of weeks ago flatted a front tire on the tandem while topping it off with a floor pump prior to a ride: Hole at the base of the Schrader valve.
I tend towards Kevlar-belted tires. Current tires on three bikes: Primo Comets with Kevlar on the tandem, Forte Metro-K on the V3, and Metro-K on the rear of the V-Rex paired with a Primo Comet without K on the front.
Currently always carrying a pump, tubes and self-adhesive patches.
I live in The Land Without Goatheads and I am constantly amazed at how little glass I see on the streets of Indy, at least where I ride.
Plus, I tend to replace tires before they become questionable.