Methods
Uncliping Front Door Facia
1) 
    Get 2 small flathead screwdrivers (like the one you get in those micro screwdriver 
    kits).
    2) The front of the drive tray is simply clipped on each end... so very carefully 
    (with the tray open) unclip it by inserting the screwdriver as shown here. 
    BE CAREFUL! Or you may snap off one of the clips. It is much easier to remove 
    with the tray open.
Cog Swap
1) 
    Once you unclip the front of the PS2 drive tray, there is a small hole at 
    the bottom of where the tray was. Its about two-thirds along, if you look 
    in there you will see a white cog. You might have to move the PS2 under a 
    light to see it, because it is only a small hole you're looking through. 
    2) Next, using a screwdriver turn the white cog a bit at a time towards the 
    front of the PS2. It is a bit stiff but it will turn OK. If you are turning 
    it the right way you will see a white plate above where the disk is starting 
    to move. Keep turning... and out pops the tray!
Knife Method
1) 
    Unclip the front of the PS2 drive tray and close it. If possible get a small 
    flash light, shine a light underneath where the disk tray is, with the PS2 
    in the horizontal position. About one-third from right, you will see a white 
    pin! 
    2) Using a plastic knife, slide the white pin to the far right, and the tray 
    will pop out. SWAP YOUR CD NOW!
    3) After you have swapped CD's, push the tray firmly back in. Using the knife, 
    make sure the white pin has moved as far left as it can go.
Tool Method
You can buy a tool from http://www.ps2tool.20m.com