Funds by Member State: here you can enter search criteria for the years 2007-10. You can inquire which country received/paid how much under which program for which year.
European Commission Beneficiaries Report: here you can get all sorts of information (including personal names) of beneficiaries of EU grants.
Unfortunately, answers can never be better than the questions asked. I asked a staff member of the EU Commission whether these data included all transfer to, say, Greece. The answer was “yes”. I then asked why the agricultural grants were not shown. The answer to that was: “That information you get from the responsible Directorate General”.
Have fun looking for the names of personal friends as beneficiaries…