Three main sports that both the Greeks and Romans enjoyed were Chariot Racing, Wrestling and boxing. The Romans had many types of ball games and a kind of Field Hockey possibly learned from the Egyptians.
Demeter's Greek name is Demeter and his Roman name is Ceres.
Demeter is the Greek name, the Romans identified her with Ceres.
Odysseus is Greek, though he is father of Romans.
The Romans did not absorb this myth into their mythology. Educated Romans who knew this myth used the Greek name. The Roman elites spoke Greek as well as Latin.
The Romans were heavily influenced by the Greeks, and adopted much of the Greek religion as their own. The Greek God Zeus was worshiped by the Romans under the name Jupiter.
He is the king of the Underworld. Pluto is the name used by the Romans. His Greek name was Hades.
The Romans associated Arcus with Iris.
Pandora is indeed her Greek name. In Greek, it is written Πανδώρα
The Romans adopted the ballista from the Greeks and perfected it. Ballista is a Greek name.
Metis is the Roman name as well as the Greek, for the Romans did not have a equivalent.
The Romans retained the Greek name. They did not create a Latin equivalent. In Greek mythology Adromeda was an Ethiopian princess rescued from a monster by her future husband Perseus. The Romans gave this name to the constellation which still bears this name
Hades, Greek lord of the underworld, was represented as Pluto by the Romans.