I understood the question to mean objects only. I thought that was pretty clear. We all know that your wife/health/children/etc. are more valuable than objects.
I have a few things with enormous sentimental value. My most cherished possession is a small carved statue that my grandfather gave me in 1964, the year he died. I still have it on a bookshelf not two feet from my head while I'm sleeping. If there was a fire, I'd definitely grab it.
Other than that, a ton of African art from various countries my brother has lived in and a limited edition commemorative gun that was my uncle's.