Bump!
First of all: last year the keyboard was the problem. I replaced it with a USB one and I had no problems since.
That is until now. I get these random crashes again. No crash dump files are created, so WhoCrashed can't tell me anything.
Just like last year, the crashes occur in the first 10 minutes after booting up. Once I get past that, my PC runs fine and I can do anything I like.
10 minutes ago I noticed AVG (anti virus) wasn't running. I started it manually... and immediately my PC crashed. So now I'm suspecting that. I'll try a re-install.