On my Mac I have the Beta of Chrome and I almost never have problems. On my Windows partition I use the stable releases and I never have problems. I have more problems using Safari than I do in Chrome, not sure about Firefox 4, never tried it out yet.
Google Chrome Dev v12. something<p>Had several problems, can't remember them all. One that I do remember is it being extremely problematic or slow loading Google Maps mashup base stuff where Safari perfectly just worked.
I use a pc and have multiple chrome windows open, each with 20-30 tabs, which I leave open. After hibernating 5-6x it starts to get unstable. It used to be fine, but the flash upgrades have made things horrible.
Sometimes when entering a search term in the address bar the "instant search" goes a little crazy and loses half of the text I typed in. Not a big deal, but happens once in a while.
I run Chrome Beta in Linux on a 64bit Sony laptop, which is pretty much asking for trouble. Aside from Flash videos occasionally not playing, I haven't had any problems.