I'm thinking, these websites should be in top 10 but I'm not sure.
googlesyndicatedsearch.com
rateyourmusic.com
neowin.com
yahoo.com

Any suggestions? It means a lot to me. Thanks.

Do you ever log into to google, like for gmail? They have a history of your sites.

And you can see it by going to google, selecting "my account" (must be logged in to see that), and then selecting "web history" from their account page.

that would require google.com to be on my top 10 list
not an option

Ok. Then switch your DNS to OpenDNS, and use their statistics page.

Come on... Work with me here.

If you installed the Google Toolbar, you may find it has an option to track your usage?

Or does your router provide any sort of logs?

go to the toolbar customization menu; under "browser" there's a button called "Top 10"

As markjensen said OpenDNS will give you this info if you start using them.