I've had some crazy T-37 landings... I twice landed with crosswinds well beyond the aircraft limits, so I still landed in a bit of a crab even though I had full rudder input. I ended up landing at an angle to the runway so I didn't damage anything, and had to engage the nosewheel steering at around 110 knots. For those of you who have never flown a T-37, normally you never engage the nosewheel steering above around 30 knots because it is very twitchy and it's easy to lose control.
Another time, my (Italian) student was unable to get the words "the brakes don't work" out of his mouth during a landing. It was a no-flap landing on a hot day with high crosswinds, and I let him go too far before taking the controls. We had already landed unusually fast due to the high density altitude and crosswinds, and the plane just didn't slow down. I kept telling him to slow down and finally took control of the plane with only 1500' ft of runway remaining and the plane still doing about 80 knots (double the speed we should have been going at that time). I can leg-press over 400 lbs, and I applied all of that pressure to the brakes. 400+ lbs of pressure on the brakes, and... nothing happened. There must have been an air bubble or something in the brake lines because not a darn thing happened. I ended up swinging wide, again engaging the nose wheel steering at a speed far far above normal speeds, and trusted in the wide landing gear of the mighty tweet to keep us from flipping over. We took the sharp 90-degree turn from the runway to the taxiway at 75 or 80 knots, and headed downhill on the taxiway. The plane was sliding a bit like a rally car in the turn and halfway through the turn I felt a little bump as the left main landing gear tire bumped over the runway end identifier lights, so we were inches away from driving through the overrun. After getting onto the taxiway, I released the brake pressure, let the plane coast a bit (still going over 70 knots on a taxiway designed for 25 knot taxi speeds) and cautiously re-applied the brakes. And of course they worked just fine this time. I couldn't even write up the brakes as manfunctioning because they worked just fine afterwards. I checked the tires expecting to see that I had stripped away a few layers of tire tread, but the tires (the nice goodyears, not the crappy aviator brand ones) had only some faint angled scratches in them after the very high speed turn.
I had some brake failures in the F-15E, but those were caused by landing too smoothly so the weight-on-wheels switches didn't get depressed. The plane thought it was still flying and kept the brakes disabled. Those were exciting.