I don't have much in the way of things with monetary value- I think the most expensive thing that I own is my laptop, and I didn't pay all that much for it to begin with (in fact, just to get the screen repaired last week cost me a third of what I paid for the computer).
And to be perfectly honest, I didn't take a whole bunch of sentimental things with me when I moved out last year. I mean, it would suck to lose either my Pokemon TCG collection or my GBC/GBA + games, but I rarely look at them, so it'd probably take me months before I noticed they were gone. I guess at dumb as it sounds, I'd have to go with my small collection of USB drives. I've got photos, videos, and other miscellaneous files spread across them that go back as far as 2003, so it would hurt to lose some of the memories that have been put away into them.