In some clients I have had complaints about the number of tasks in My Tasks view and number of tasks on the reminder on the Home Page.
To solve this, simply change the "Publish" field value to No.
It’s simple, but some project managers ignore or even forget to do this.
In order to facilitate the work, I developed an add-in for Project 2010 that changes the value of the "Publish" field to No when the task is 100% complete.

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Link: Unpublish Completed Tasks Add-in

NOTE: After the change of the "Publish" field, project must be saved and published.

I hope I have helped!

Regards,
Andrew Xavier