First objective: peace in Europe. Done
Second objective: free transport of humans and objects within the EU countries. Done, in the most part (but there's still to go...)
Third objective: helping the economy of all countries inside it by collaboration - we are stronger together. Done, for the older members (pre-2004 expansion)
Fourth objective: establish a common system of laws and values. Partially done
Fifth objective: establish itself as a political union. Not done
Sixth objective: creation of an European superstate with one government, parliament, etc., to act as one country on the globe. Not done