1. The right to be forgotten, which tries to turn back the clock to an earlier age when search engines did not exist.
2. Copyright extremism (yes, there are places where it is worse than the USA) e.g. the EU copright directive.
3. Photography rules, which, unlike the USA, restrict the use of cameras in public and may render selfies illegal in some cases.
4. GDPR
GDPR is fantastic and is forward-thinking.
As for the right to be forgotten, that is nothing more than an attempt to restore yesterday's status quo. The fact is that computers are very good at storing data, indexing that stored data, and finding more data to add to searchable indexes. The only reason this so-called "right" can even be enforced is that the search market is dominated by a single search engine; if that market were more competitive, something that could theoretically happen at any time (and ironically something the EU seems to want to have happen), it would quickly become impossible to actually enforce the "right." Basically this is like the "right to fly around on a broomstick" -- it is not really grounded in reality.