We can't discuss human rights in absolute worldwide terms while looking at immigration systems, because there's no universally agreed set of human rights to discuss, as far as I know.
But we can discuss violations of what it is widely regarded should be universal human rights.
Here's a list of some that I consider should be universal human rights, which are often violated by immigration systems:
- The right of young children to be with their parents
- The right of spouses to be together and start a family
- The right to get married
- The right to legal due process, including appeals and representation
- The right to work for essentials for survival such as food, shelter and medicine
- The right to enter private transactions for things like shelter
- The right to access the prevailing currency system (basic banking in the modern world)
- The right to leave an abusive job, without enduring serious harm caused by the state if you do
- The right to leave an abusive relationship, without enduring serious harm caused by the state if you do
- The right to stay in the country where you were born, raised and have never known anywhere else
- The right to vote in the country where you were born and raised
- The right to protection and safety when talking to the police about a crime where you are a victim or witness