Only requirement is that it has to be something that you were alive for.
It doesn't necessarily have to be something that you personally witnessed (e.g. maybe you really enjoyed watching Hurricane Andrew make landfall) but where's the fun in that, right?
Pick anything you want. Winter storm, tornado, big hailstorm, derecho, ridiculous heat, insane dew point, etc. Something that lasted a bit beyond 1 day is acceptable, but "March 2012" is not.