having had my house broken into before and had laptops, money, tv, etc. stolen yeah i didn't ever cry or anything. i did move the fuck away tho.
if my Switch was stolen, i'd just get a new one, and make sure to change the password on my account. most of my games are digital so i'd get all of them back. if my PS3 was stolen, it would suck, but it was a used thrift store purchase anyways. i'd just go to emulators, which means i get to play at higher resolution/framerate. ditto with my N64.
honestly it's just easy to get video games these days. i have no attachment to any products i own, i've bought and given away so many game systems in the past. it would suck but i wouldn't be depressed about it or anything.