The gameplay freezes randomly throughout the entire game, and upon ejecting the disc and restarting from the last save, the game freezes in the EXACT same places. For example, the first time I experienced this glitch was after Isaac was prompted by the game to use stasis for the first time on the speeding trucks. When I walked forward on the path in front of me, the game froze. I did this about 5 times with the same result.
I did figure out a couple of workarounds that seem to work (albeit annoying):
1) Go a different direction.
Because the game usually locks in the same place (e.g. walking up a middle corridor), I usually go a different way (e.g. walk the left corridor instead). In the case of when Isaac used stasis on those moving trucks, what I did instead was take an immediate left and the game miraculously did not freeze. But to test my hypothesis, once I went left, I circled the entire room on the outer edges and then went back up the middle from the right side, and the game froze in the same exact place it froze before when I simply walked forward. When there are no alternate routes (most of the time), I have to...
2) Temporarily lower the video resolution to standard def.
When there are no alternate routes, I have to change the video settings on my XBOX to standard def, and then I can breeze past the glitchy area as though it never happened. However, I have to play at this setting until I get to another auto-save area, and being forced to play a game with optimized HD graphics in standard def cheapens the gameplay. You can imagine how frustrating this gets after FINALLY surviving a flood of attacks on the highest difficulty only to have the game freeze, forcing you to do it all over again.
Yes, I have tried deleting the hard drive cache, installing on my HDD, and all of the many other suggestions found in these threads, and while the clearing cache seemed to work once, the game froze 10 minutes later within the same chapter. I've been gaming since 1982, and with the exception of E.T. for the Atari 2600, this is by far the worst gaming experience I've ever had. I can't even determine if I like the game itself because it freezes at least 4x per chapter, so I can't even really play in a continuous stream. Last night, I decided enough was enough and put the game back in its case and will wait until a satisfactory patch has been deployed.