You will be hard pressed to find an index that aims to measure Human Rights where the US scores better than the main European countries such as Germany, UK, France, Italy, Netherlands etc.

Press Freedom Index [1]: Nope Human Rights Scores & Human Rights Violations [2]: Nope and nope

[1] https://en.wikipedia.org/wiki/Press_Freedom_Index [2] https://ourworldindata.org/human-rights

Can you share some examples of large infringements on freedom of speech that happened in well developed European countries?

Given the examples of police brutality related to protests that I've seen in the US just this year I doubt you'll be able to provide any examples that are more worrying than that.

The UK’s insane libel laws are a good example.

But overall UK probably still ranks as treating its basic citizens with better decency than the USA due to healthcare access among other things.

Do you have any specific examples that show how insane they are? Because the US also has libel laws.

Simon Singh was successfully sued by the British Chiropractic association for pointing out they are quacks. (Edit to add: I just checked and he appealed a point of law successfully and then they withdrew — https://en.wikipedia.org/wiki/British_Chiropractic_Associati... — but as I understand it such a case would be laughed out of a US court.)

Although I'd agree with the general point that whilst America has good theoretically human rights, the EU is better at actual rights (and in particular, rights against corporations).