In the US court system, you are innocent until proven guilty. I am not a lawyer, but that is our system. Even if you just follow for instance, British crimes series, you will detect right away that our US Miranda rights are specific, and VERY different from what you hear when folks are arrested in other nations. We have the right to remain silent. period.
The US isn't the only country where a suspect's innocence is presumed. The EU, the UK, Canada and others abide by innocence till proven otherwise. As far as Miranda rights go, no other countries have them as that is a US specific law, but other nations do have their own equivalents, so police reading a suspect his/her rights will sound different. As far as the right to remain silent, other countries have that too - the UK established the right to remain silent in the 1600s under Common Law and the right to remain silent is in Canada's charter.