Romans used Greek architecture, somewhat modified.
Their schooling was based on Greek models, and often was done by Greek slaves.
Their music was essentially Greek, as was their theater.
Their literature was written on Greek models.
Their religion is sometimes described as based on Greek mythology, but this is not entirely true. Their gods were from prehistory. They did, however, identify their gods with similar Greek deities and adapt their mythology by borrowing Greek myths for their own gods.