Hey Skaltnerd Welcome to WPCentral!!! :)
that seems like a weird problem, I know that some apps/games are buggy and have problems , but out of the 1000+ aps/games ive downloaded I've only had a handful actually crash my phone or simply not work.
What I would try to do , is uninstall ALL the apps/games, Then re-install them one at a time, this will allow you to test each app to see if a particular one is causing the problems.
its never a good idea to install allot of app/games in a short period of time, even doh you might be exited about your new phone :P
it is possible your phone is defective as well, worst case just return to the store to exchange it.
I would first try to do a *HARD RESET *
3. Reset your phone ( at the very bottom )
see if that works!
also for more information make sure to check out: WindowsPhone: Getting started!