Check out the PS2 Game Compatibility Chart for HDD Thread on this forum:
PS2 Game Compatibility Chart for HD Thread
It leads to 2 sites which tell the compatibility of games with the HD. You should be able to play Burnout 3 Takedown in Mode 3. Make sure you try out different modes before giving up
You can't play the NFS:U 2 Demo though.... but hey, after burnout why would you?
