The World Press Freedom index has the USA at 41st place, between Slovenia and Burkina Faso:
https://rsf.org/en/ranking/2016
The Human Freedom Index study ranked the USA at 31st in terms of personal freedom:
http://object.cato.org/sites/cato.org/files/human-freedom-index-files/human-freedom-index-2015.pdf
The CIRI Human Rights Data project in 2011 ranked the USA at 38th in terms of human rights:
http://www.humanrightsdata.com/2013/08/human-rights-in-2011-ciri-report.html
The Global Gender Gap Report that examines gender equality in 2015 ranked the USA at 28th:
http://reports.weforum.org/global-gender-gap-report-2015/rankings/
Scandinavian countries or the likes of Netherlands generally also fare better when it comes to access to healthcare and higher education, what with the crippling costs these two can incur in the US. The Global Higher Education report in 2010 found that the total cost of education (including living expenses) came out at 87% of yearly median income of US households in 2008. As all reports say that higher education in the United States only got more expensive in the last eight years, it's safe to say things did not change for the better. In comparison, the same report calculated the cost of education in Germany at around 28% of the median income:
http://www.iregobservatory.org/pdf/HESA_Global_Higher_EducationRankings2010.pdf
And from my admittedly highly subjective viewpoint no country can call itself the best example of a liberal society while it still has the death penalty. Any of the Scandinavian countries, Netherlands or Germany have a better claim as things stand. You might have a case if we go back to before WWII, of course. As of 2016, not a chance.