I know you were looking for names of Greek gods, but what about the philosophers?
Plato
Homer
Aristotle
Socrates
Zeno---he focused on man's inner peace
Here are some other names I like:
Bruno----name of a weimeraner we had when I was a child and a pit-mix I had as an adult
Czar-----name of an Akita DH and I had when first married
Caesar----good masculine name
Hektor----little known Greek god
Names for the color blue:
Cobalt
Kyanos----the closest word the Greeks had for blue-----actually means "a dark color"
I think my 3 favorites out of all these are Zeno, Caesar, and Kyanos