A:
This is "The Lover."
The 15-page single-spaced pdf on the back of the book says:
Aphrodite is the Greek goddess of love and beauty, the daughter of Zeus and Dione, with whom she fell in love. Her mother knows of her feelings, but doesn’t try to stop them. … [O]ne day Aphrodite decides to leave Mount Olympus and come to earth, where she has her first experience of love.
The wikipedia page says:
After some time as a single mom in Athens, Aphrodite becomes convinced that she can no longer hide from her responsibilities and gives up her divine status to become mortal. She leaves Mount Olympus and comes to Earth, where she meets her nephew, Daedalus, and his friend Icarus. After the death of Daedalus's father and Icarus's father, Icarus impulsively persuades Daedalus to build him a set of wings and take him flying. Daedalus does so, but when Icarus flies too close to the sun, the wax in his wings melts and he falls into the sea. Aphrodite is moved by this story and promises Daedalus to help Icarus in the future.
I don't know if they have the same Greek gods or not, but the single mother and the orphan who becomes an explorer (in an adventure sequence with no references to Greece) sound like the same characters.
The Adventures of Hercules:
...the prince of Tiryns and the nymph Cyrene, is sent on a mission by his father to find the sacred Cattle of Zeus, whom were stolen by the Titans, and by Hercules was defeated and cut in half by the son of Cronus. Hercules’ mother is Cyrene, who is in love with him. He is ordered to get away from Cyrene and to return home in search for the Cattle of Zeus. Meanwhile Cyrene grows in love with Hercules. When Hercules is about to leave Cyrene and to search for the Cattle of Zeus he sees her again and forgets the mission he was given to find.
I don't know if that's the same "Hercules" as the one in the "Hercules and the Captive Women" (1912) film.
Atlas:
A sailor falls in love with a woman who lives with her father on a small island in the Aegean Sea be359ba680
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