Well... I can cite a few laws. First, the part that protect DRM, second, the law that require search engines to make contract to quote article, third, the interest in policing private communication, and last, a project that isn’t really advanced to infringe net neutrality.

I doubt a US citizen will be shocked about them. But they are likely to dislike them.

(but I tend to see the greener side of "for 1 bad things, 2 good things come next")

There's currently a law in the pipeline that would scan all conversations, videos and images sent over social networks as well as chat apps like Whatsapp for illegal material. It would also include backdoors in encryption technologies and possibly banning any services that don't comply with the scanning, e.g. Signal. Love the EU in principle, but unfortunately it's often used by national governments to push things like increased surveillance.