Moving to Droid X forum.
Very similar problems here. However, I bought my DX the day of release, i.e. July 15, so I've been using it for a while without (serious) issues. However, on Friday, the phone started acting strange. First indication I got was when I couldn't disconnect a call: hit the End Call icon numerous times, also tried killing stuff through Advanced Task Killer but nothing helped. I did a batter pull and that seemed to resolve the issue.
Next problem: on Saturday evening I took a 1 min video clip without problems. However, when I tried to playback the video clip (twice), the app froze on me and I had to kill it. Got it home, connected to my computer and pulled the video clip to my computer and was able to play it fine. After disconnecting from the computer I tried to open my camera / camcorder app, both of which gave me a blank screen; I killed them. I then connected to my wall charger and all seemed ok. However, when I disconnected the charger a couple of hours later, the phone had a frozen screen showing 'Charging (30%)', while the top-right corner showed full charge. The screen was frozen; I just couldn't unlock the phone. I hit the top button to switch off the screen and left it overnight to see if the situation improved. Unfortunately it didn't and I had to do a battery pull this morning. Since then I have been ok.
I have a feeling it is one of these two actions which started the problems: blockbuster app upgrade (timing was very coincidental with my first freeze), or trying to remove my Facebook account (which hung on 'Removing account' twice and I had to kill it).
Maybe others who have had similar issues can post any specific actions that started their freezes?
get a new battery. a lot of the times, a bad battery can make your phone do weird things such as random reboots, phone turning off randomly and even corrupting the phone's data. I was having similar problems and bought a new battery. After i put in the new battery, charged it and turned it back on my phone was running like normal. So try getting a new battery and if that doesn't work, you can always return the battery. Goodluck!