EU censors centrally: https://eur-lex.europa.eu/legal-content/EN/ALL/?uri=uriserv:...

Other ways EU censors centrally are EU wide travel bans that individual countries can issue to prevent political speech by foreigners, under the guise of preventing "incitement" and preserving "stability". Doctor Ghassan Abu Sitta from UK is one prominent example.

Yet other way EU censors centrally are EC sanctions on individual journalists or "journalists" to prevent them from any economic activity within EU, incl. publishing.

Other way EU censors centrally is via DSA, which results in seemingly random bans of channels on "social media" like Telegram, under the guise of fighting "terrorism". Basically this way it tries to silence people it otherwise supports killing without due process.