Yes, I have, though I wasn't personally affected by any of them.
First of all, let me remind you that I live in Pittsburgh, which is rather well-known for its shitty weather. To whit, I will not consider merely lots of rain or a blizzard to be a disaster. No mere storm has ever been too dire for a Pittsburgher unless it drastically affects the whole city on some sort of crippling level. That said, there have been two types that DO merit the mention.
Floods - Three rivers plus shitty weather in enough quantity can (and has) on occasion caused those rivers to swell and flood, causing all manner of chaos down in that area. The record height for flooding is marked clearly on some buildings downtown, measuring taller than most humans. However, it has never reached that level in my lifetime. THAT flood was in the time of my grandfather. And me? I live in the hills, yo. No way was I getting affected.
Tornadoes - The only other real disaster ever to hit this city is actually the most perplexing one. The Pittsburgh area is known for having a good amount of high hills, owing much to being that close to more mountainous areas (namely, the Appalachian Mountains). So, how is it that we've actually had tornadoes, however weak they are? Nevertheless, there have been a couple of occasions and the worst I ever suffered was a power-outage, for a while. (Other people had it worse, unfortunately.)