There are four churches typically identified as the main major basilicas, all found in Rome: St. John Lateran (the cathedral of the Pope; also known as the Lateran Basilica), St. Peter’s Basilica (you’ve probably heard of this one; also known as the Vatican Basilica), St. Paul Outside the Walls (also known as the Ostian Basilica), and St. Mary Major (also known as the Liberian Basilica). There are a few others that have been elevated to this status over the years (like the Portiuncula), but the ones mentioned above are the canonical list. Minor basilicas are thus all basilicas that aren’t major basilicas. So, all the basilicas in the US are minor basilicas. As far as church rankings go, cathedrals are more important than minor basilicas, but the major basilicas outrank all other churches.