The Audiovisual Media Services Directive governs EU-wide coordination of national legislations on all audiovisual media, both traditional TV broadcasts and on-demand services.

The original Television Without Frontiers Directive adopted in 1989 was revised in 2007 to include non linear audiovisual media services (article 16).
The new Directive continues to require broadcasters reserve a ‘majority proportion’ of their transmission time for European works. It also requests that on-demand audiovisual media services promote the production of and access to European works, through either financial contribution to the production, rights acquisition or prominence of European works in their catalogues. (article 13).
You can read the consolidated version of the directive here.