Not all of the Greek gods had Roman equivalents, so I'll just stick to the most well-known. The Greek name first, and then the Roman. Zeus - Jupiter/Jove Hera - Juno Poseidon - Neptune Demeter - Ceres Hades/Pluto - Orcus/Dis Pater Hestia - Vesta Apollo - Apollo Artemis - Diana Aphrodite - Venus Ares - Mars Dionysus - Bacchus Hermes - Mercury Some of the Primordials had Roman equivalents as well: Kronos - Saturn Rhea - Magna Mater/Ops Okeanos - Oceanus Helios - Sol Selene - Luna Ouranos/Uranus - Caelus Gaea/Gaia - Terra Nyx - Nox Hypnos - Somnus Thanatos - Mors This is, by no means, an all-inclusive list, but it's a lot of them.
The two mythologies are vastly different, and there are no direct correlation between the two.
Dionysus is known as Bacchus in Roman Mythology.
Hercules is the Latinized version of the name Heracles. He has no specific Roman equivalent. They just changed his name a little.
Bacchus in Roman Mythology.
In Roman mythology, the god "Mercury" is equivalent to Hermes in Greek mythology. He is the god of messengers and travelers. So he is the messenger of the gods.
The Roman Goddess of love is Venus (Aphrodite in Greek mythology), her son Cupid (Eros in Greek mythology) is a minor Roman God of love.
Many Roman gods were direct copies of Greek gods simply renamed; as in Zeus becoming Jupiter, Hades becoming Pluto, etc.
If Greek mythology: Hera If Roman mythology: Juno
Greek mythology is about the ancient Greek gods. Rome was not an ancient Greek god.
most giant and monsters in Greek and roman mythology are just things the gods created and then discarded.
Prometheus and Epimetheus were Greek gods.
Apollon/Apollo is one of the Olympic gods in Greek/Roman mythology.
Jove, or Jupiter was the king of the gods in Roman mythology. He was the lord of the sky. Zeus was his Greek equivalent.
Zeus god of the sky and chief god. His symbol is the eagle and his Master bolt (Lightning bolt)
In Greek/Roman mythology, the gods are all an extended family.
They are called Demi-Gods in Greek and Roman Mythology.