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