Long story short, I ended up deleting the root user from PHPMyAdmin in EasyPHP. After some researching, I used skip-grant-tables to regain database access. Now, however, I
I just experienced the same issue (lost access to my local databases). The problem does seem to be related to browsers running Gecko or similar (like KHTML... I'm on Opera). After deleting the phpMyAdmin cookie, as suggested, I still had No Privileges. So I went to localhost/xampp, then clicked on Security. On that page is a link (h-t-t-p://localhost/security/xamppsecurity.php) that took me to a page entitled Security console MySQL & XAMPP directory protection)
I left the current password field blank and entered a new password; I think I selected cookie as the PhpMyAdmin authentication method (it actually says PhpMyAdmin authentification, but hey...). Once I had submitted the password change and tried again to access phpMyAdmin, I got all my databases back and am again able to create more; the No Privileges message has disappeared!
There is still the message at the bottom saying
The phpMyAdmin configuration storage is not completely configured, some extended features have been deactivated. To find out why click here.
But that's another river for another time.