Looking at my personal experiences, I think I'd go:
1) Feb 2013. It speaks for itself.
2) Oct 2011. I was working in gov and I saw firsthand just how destructive that one was.
3) Jan 2016 (DC). High impact event in DC, one of their all time greats.
4) Christmas 2002. Personal memories.
Honestly, nothing else is really memorable for me, but I spent significant time in SC and DC and was too young to remember the early/mid 90s.
But looking historically at CT, any list without 1888, 1978, and 2013 is fatally flawed IMO. It kind of tells me everything that there'd be near unanimous agreement on those as all time CT storms.