Sockets:
As far as sockets go, I've only broken one brand of sockets before: SK
I had a set of SK 6 point 1/2 drive sockets as my primary 1/2 drive metric sockets, both deep and shallow well. They seemed nice; shiny chrome, a bit thick walled, but I figured that must mean that they are really strong.
The first that I broke was a 17mm deep well socket, while using a 24" breaker bar trying to loosen one of the four bolts securing the wheel hub on my Suburban. I should have been using a 2" extension and a shallow socket, but I had the deep well close by. Given that, I gave SK somewhat of a pass there, despite their horrible return policies.
Fast forward to trying to loosen a body brace on a Grand Prix. It is usually a job for 3/8" drive, but one fastener was stubborn so I grabbed my 1/2" 13mm SK socket on the end of my 15" long handle Snap-On ratchet, and proceeded to break the socket. I grabbed an impact wrench and buzzed the bolt right off. Maybe my expectations are unreasonable, but I expect a 1/2 drive socket to be stronger than a rusty M8 bolt.
That was the last socket that I've broken because I immediately replaced those SK's with JH Williams that night.
Wrench
For some reason I broke my rule of only buying quality (usually only USA made) hand tools, and I bought a set of Harbor Freight flare nut wrenches. The same day, I was using the 3/8" one to loosen the bleeder on the back of the rear drum of my Suburban, and, like an idiot, I turned the wrench the wrong way, tightening instead of loosening. Fortunately, the good folks at Harbor Freight designed that flare nut wrench to snap off before I could do any real damage

. It was a good easy reminder of why I have my "don't skimp on hand tools" rule.
Ratchets
My 1/4" drive Craftsman ratchet was pretty much broken from the box, it reversed itself constantly. What a POS. I don't know that I'd say that I broke it as much as it was never not broken, though.