The problem with the EU is that the most important institution in it is an extra step removed compared to most representational democracies. The heads of state select the Commission, not the people nor the EU Parliament. And the Commission is the only one that can propose laws.

There are two other important problems with the system as well: voter turnout and voting in blocs (country or EU party). The reason this is a problem is that the candidates campaign as individuals, but act according to what their group tells them. Sometimes they vote along what their country votes, other times they vote along the lines off what their parliamentary group tells them. But where are the interests of the actual constituents here?