Well if you already cleaned the laser, most likely it needs a voltage or height adjustment. You can adjust the height by moving the white cog at the top of the drive, just move it 2-3 clicks and test to see if you get any new results. I would not suggest you do a voltage adjustment, you would need the proper electronic equipment and knowledge to do so.
Hope this helps, here are some useful links.
If you wish to send us your system, please click the link provided:
http://www.videogamerepair.com/FormPage1.htm
If you wish to repair the system yourself, here is a link to a guide that can walk you through the steps:
http://www.powerfulguides.com/portal/affclicks.php?pid=VGR
If you just want to replace the lens, here is a link to order the part:
http://www.videogamerepair.com/cgi-bin/webc.cgi/st_main.html?catid=33
Make sure to compare your laser with the pictures on the site, and know your version of PS2:
http://www.videogamerepair.com/ps2_version_id.htm