Which is a right that both citizens and non citizens in the US share?

The First Amendment prevents the government from censoring noncitizens' speech or suppressing the practice of their religion. The Fourth Amendment protects them against unreasonable searches and seizures. The Fifth Amendment ensures that noncitizens' property can only be taken by the government for a public use, and only if just compensation is paid.

Should a noncitizen be charged with a crime, he has exactly the same Fifth and Sixth Amendment procedural rights as a citizen, including the right to a jury trial, the right to counsel, and protection against self-incrimination. If convicted, the Eighth Amendment prevents the government from subjecting aliens to "cruel and unusual punishment" in exactly the same ways as it does with citizens.