More than symbols, I would rather include anonymous people's of Europe, showing the diversity that the EU has. The EU is made of people above anything else.
I would like to see representations of European Art and important figures from the EU's history.
Altiero Spinelli, Leonardo Da Vinci, for example.
right now i cannot say for sure what I would really like to see, but I know for sure which symbols to avoid things like "clasped hands" and other symbols of unity of all are not well recieved right now amongst I dare to say big part of populace thats because rather than evoking image of united EU countires, it evokes pro-immigrant political stand point, which is very controversial choose something that shows people that you care about EU citizens first and foremost
famous monarchs, writers and artists, especially fom less "represented" members of EU a society is made out of its people, not buildings, hills or flowers
more modern examples of what it means to be European (e.g. image of institutional buildings etc. or even words that symbolize the EU (e.g. united in diversity)
Schuman, founders of the ECSC...
I really would like to see European fauna or flora on the banknotes and/or coins. It is not about one specific country, or one specific social class, it is about Europe as the actual place where we live. Moreover, many animals and plants are used as symbols of positive values that Europeans can relate to.