Many European countries have decent authentication, banking and payment system alternatives or even innovative solutions. I think, like usually, it's just a problem to break out of national or regional circles into something pan-European.
A lot of people seem to agree that relying on a handful of too powerful American companies, especially in the ad and social media space, is a terrible idea and running foul of privacy requirements. Remains to be seen if some larger alternatives manage to pop up though. The European landscape is pretty fragmented.
There are companies such as Signicat, Scrive and others that provide an API that integrates with different national authentication providers.