Study in Europe
Many programs are available for students who want to go study in another European country. The most famous is probably the Erasmus program which makes it possible for European students to spend a few months in a partner university of another member country. Universities and Grandes Ecoles also conclude bilateral agreements with higher education establishments abroad (in and out of Europe). All students are generally allowed to take part in these programs (even if they are not European). For more information, contact your university! You can also go to the website of the European Commission.
Another possibility is to go abroad for an internship. If you want to know more about internships in Europe, go to Europe Internship.