Get rid of those annoying worthless coins ! When I see a 2cent on the ground I don't both picking it up. I have a cup full of them at home (we all do). They are a complete waist.
What we need instead is developing a robust, EU wide and well regulated system for mobile payment. You just pay by scanning a QR code or NFC. This is very common is Asian countries already. We should do that, but EU-grade.