ASUS Transformer TF101 freezes on many ROMs Problem:

I have this TF101, which freezes in virtually every ROM I've tried. When I'm playing a game, refreshing Twitter timeline by dragging down, or sometimes even simply viewing settings, the screen freezes. The sound and logcat however continue. I can also turn the screen on and off by pressing the power button, but the lockscreen does not show up. When I press the volume buttons, sometimes logcat says it's registering the presses, but ignores them: I/InputDispatcher(141): Dropped event because input dispatch is disabled.

Here's a Youtube video showing the problem.

Analysis:

As said, logcat continues while the freeze is happening. Here are two logcats of the freeze and a traces.txt:

Device info: Stock ROM
Android version: 3.1
Kernel version: 2.6.36.3-00011-g3eb19ec android@Mercury #1
Build number: HMJ37.WW_epad-8.4.4.11-201107011
S/N: B70.........
Problem: Freeze as mentioned before.
Logcat

Device info: Stock ROM after 2 ASUS updates
Android version: 4.0.3
Kernel version: 2.6.39.4 android@Mercury #1
Build number: IML74K.WW_epad-9.2.1.24-20120503
S/N: B70.........
Problem: Freeze as mentioned before, but now the device reboots itself short time later.
Logcat

Device info: Prime! 1.8 ROM flashed using NVFlash
Android version: 2.3
Kernel version: 2.6.36.4-g565dea1 roach@nimda #20110816
Build number: HTJ85B.prime_epad-1.8-20110821
S/N: B70.........
Problem: Freeze as mentioned before. This is the ROM in which the freezes less frequently happen, but they still happen.
Traces.txt

Solution:

I have no idea. That's why I came here. Any help is appreciated.
I have found a ROM that does not have this problem, the newest AOKP ROM.