Personal ones:
About 3 years ago, built a brand new system. Dropped $2500 (including a new Dell 2408 that was $500 of that) for everything. Well it would overheat and restart on me so finally I've had it with the issue and go troubleshooting to find the issue and fix the problem. I decided to feel the CPU heatsink to see if it was abnormally hot. Well, in my infinite wisdom I just put my hand in the case (powered on system) without looking to basically guess where the heatsink was. I misjudged where it was, stuck my finger in the fan, the fan cut a chunk out of my finger and fingernail. It also screwed up the fans balance so it rubbed the side making a very annoying noise. On the bright side it was finally an excuse to actually go buy a new HSF
About 5 years ago for Christmas I decided to build my dad a newer computer. Got everything for $300 or so, and was installing everything. Install went fine, turn it on the first time for a few min and turn my back to do something else real quick. My mom's boyfriend is watching tv and looks over then says "Ummm DV should there be smoke coming out of the case?" I look back and smoke is pouring out of the PSU, so I quickly unplug the system. I see more smoke coming from a power cable that is plugged into the floppy. Apparently I REALLY screwed up plugging the power cable into it, because the cable was only plugged into 3 pins instead of all 4 (and the kicker is it was the cable was plugged in the wrong way). Luckily only the PSU died on that.
The best friend one I can think of:
In HS one of my friends wants to build a new system. So I help him pick parts and everything. He orders it and it gets there early in the week, and I tell him I'll help him put it together over the weekend. He says okay, but apparently got impatient because he put it together himself. The day after he installs it, he asks me what could be going on that it won't boot and shuts down after only a few minutes. I tell him I don't know, but to bring it over that weekend and I'll figure it out. He comes over, and I start taking a look. It seems like a heat issue, so I first look at the cpu HSF. That was when I first noticed something wasn't right. There was something on the bottom of the HSF that isn't the same color/texture/etc as the metal fins. So I take the HSF off, and realize what it was. It was the plastic protective cover that HSF's in retail packs ship with to protect their thermal paste. So, he had been running the pc with plastic on top of the CPU core. IIRC it was an Athalon chip pre-heatspreader days so the plastic cover had a nice burned rectangle where the core was. The system worked fine after I put the HSF on correctly.