Yeah ... the first top level domain is registered and online. www.eurid.eu. There's also a big teaser on the homepage which is:
"PLEASE NOTE THAT IT IS NOT YET POSSIBLE TO REGISTER OR PRE-REGISTER A .EU DOMAIN NAME WITH EURid AND THERE ARE NO ACCREDITED REGISTRARS FOR .EU."
First of all it's interesting because of some blending campaigns of some big german providers which suggest that it is even still possible to register a .eu domain.