It says on (almost) all the bills that it they are from 2002. However, in year 2003 Jean-Claude Trichet became the new EZB president. Since then there are new signatures on the bills. These bills (i guess) were printed in the same year and so they aren't from year 2002 (although on the bild it says "2002").
I vote for a new selection menu in which you can choose the signature of the bill. Then on the summary page it shows the right year.