As of May 25, 2018, the General Data Protection Regulation (AVG) is applicable. From that date, this privacy law applies throughout the European Union. Among other things, the AVG describes the rights you have if your personal data is stored and processed by a company or organization.
Below, these rights are briefly described. If you want more information, you can find it on the website of the Authority for the Protection of Personal Data. This organization monitors compliance with privacy legislation.