Now, you should keep track of where each part comes off of from this point on. You don't want to miss any specific part, lose anything, or put something in the wrong place as you can easily mess up your PS2.
With all of the screws out of the bottom of the PS2, take the bottom cover off and then flip your PS2 over. When it's right side up, carefully pull up the cover and slide it forward. When it's free, pull it off. Be extremely careful right here, as you can easily damage the memory card, the controller ports, and even the loading tray, so you want to make sure that you are very careful not to damage any of these parts.
When you have the cover off, you will see the ribbon (this is normally brown) that connects the power and the buttons inside. Lay down the cover as carefully as you can without putting any type of pressure on the ribbon or you can damage your PS2 so that it's not fixable.
The last part that you need to take off is the black lid that is on top of the loading tray. To take this off, you'll need that tiny screwdriver (Jeweler's screwdriver). Take these screws off and you are done disecting your PS2.