You can store each link in the table with ID and count column.
When a link is clicked, it actually takes you to a page where it updates the count with requested ID, and then launches a new window to take you to the actual page.
1) <a href="jump.php?link_id=1">http://www.game.com/</a>
2) jump.php will look into the table in the database where link_id is equal to 1. If the record is found, then it updates the count, and then redirect you to the actual page (http://www.game.com).
When you actually display links in the page, you can run a select query order by count in decending order (from largest to smallest) and print them out. That's all you have to do.
My advice, if you don't know anything about PHP (or any other programming language) then you really need to go get the book. You have to have at least some kind of programming background (at least the basics) in order to understand how it can be done. There are just too much to write in here and people probably won't help you without you actually write your own code (They won't write the code for you.)
Good luck bro.
Well, bretticus has already posted a same thing before I did.