I had to think back over the years for this one, but likely half a dozen or so.
First was in high school, I fished a lot with one of those old inflatable Sevylor rafts that I'd fold up and keep in the trunk of the car. One day after fishing I was trying to fold up the deflated raft and apparently there was still a section of an Eagle Claw fiberglass spinning rod nested in the crease where the floor meets the big side tube. For some reason the deflated raft wouldn't fold in half and 16 year old me thought that forcing it was the answer. After reefing on it heavily, it finally "folded" along with a loud snap.
Next was a few years later, steelhead fishing on the Snoqualimie with a new Lamiglass Northwest Special. I got to aggressive trying to drag a small hatchery steelhead onto the bank and the lower section of the rod blew up, much to the amusement of the other dozen anglers lining the Cable Hole. I quickly got a free replacement from Big 5, and that one had a visible wrapping defect and broke on one of the firsts casts with a heavy spoon. The 3rd rod worked out and I still have it upstairs.
At the Chico creek estuary, fishing for chums I blew up an Orvis 9wt Silver Label, trying to unhook a feisty dog in knee deep water. Orvis sent me a replacement Trident TL in less than a month, I think for free.
Broke the tip off my Loomis IMX 4 wt 9' (built from a blank) so now it's a 8'9". No idea how it happened, I just noticed it one day when getting it out to use.
I blew up the butt section of my Scott ARC 1287 spey rod on the upper Green, while trying to execute a Snap-T / Circle cast with a heavy sink tip. Scott rebuilt me a new lower section but it cost me a few bucks, maybe $100?
Had my brand new Redington CT 590-4 somehow get wrapped under the anchor rope while my buddy was launching his driftboat on the upper Yak. I now wait until the boat is launched before bringing thte rods down and getting in. Redington sent me a replacement rod for whatever their fee is these days, $50-ish.
That's all I can think of at the moment.