OK I am confirming that fuse #20 for my '06 330xi disables the AWD.
Things I noticed:
1) Errors, obviously...see video below.
2) No control of wipers....once you start the car, they stay on until you turn off the car/replace the fuse.
3) Auto shut off of the turn signals is disabled....3-click and regular turn signals do not automatically turn off after coming out of turn.
4) Speedometer is disabled.
5) Gas gauge fluctuates. It's hard to see in the video but my gas gauge keeps slowly going from 0 to about 1/2. I have a 1/4 tank in my car now.
Here is a video showing all the errors: lol Oh and the RPMs are correct. I was just going down a hill so I didn't upshift.