Apart from healthcare (which is subjective and not a specific right), are there any parts of US law which violate the human rights set out in the United Nations Universal Declaration of Human Rights or any of those rights not included in any US state laws?
According to the ACLU, lots
life sentences without parole
no legal right to sue for being illegally tortured by the US
systemic socioeconomic generational inequality
lack of legal protection based on gender
mass immigration detention
mass and racially discriminatory incarceration
lack of ratification (along with Somalia) of the UN declaration on the rights of the child
lack of protection of voting rights of minorities
failure to ratify the UN declaration on the rights of the disabled
the only liberal democracy to still have the death penalty
To be fair, many other countries have failed on some of these metrics but, as in many things, the US is No 1 among the OECD.