You can register a .eu domain without being a EU resident but it has a catch

[Digital Pandit]

Residents of countries outside the European Union are now able to register .eu domain names.

A new rule that kicked in at the weekend broadened eligibility from only residents of the EU and European Economic Area. Now, residency is irrelevant.

The catch is that you have to still have to be an EU citizen to qualify.

Full article link