Daedalus
I am surprised that the great inventor was represented by only one of his inventions.
The card can teach airborne. However they made the teaching skill act like a growth effect for Daedalus. In this manner they are able to make the skill useful even if no other card in the match mentions airborne. (No wings, warden or skyblitz) In this manner it has a clever elegant solution to a design obstacle.
It seems to be well balanced.
Hercules
I fail to see the connection between the card and Hercules. The notes do not clarify either.
The card has a hidden
Legendary-like effect. It does a good job at making this effect elegant but I question if the effect is desired.
Legendary cards are included as 1-2 copies to completely ignore that drawback. Thus this is a 7|7 for 5
that also generates quanta. Even with the possiblity of replacing an existing creature, I think it needs rebalancing.
Perseus (Since I made this I will only note the faults I see. The rest should speak for itself)
The card does something new but like most card suggestions, it is not groundbreaking.
Asclepius
Strangely enough this god was born of a god and a mortal and thus is a demigod as well.
The card tries to protect creatures from damage CC. Asclepius is still vulnerable (probably as an intentional balance tool). This means that each Asclepius will draw some CC before the protection is removed. At which point the withheld CC will recommence. A fair design.
It seems to be well balanced.
Ghatotkacha
It has a potential combo with a single card (Nightfall|Eclipse). This runs the risk of being a forced combo if the additional benefit is much greater than the additional cost. Nightfall and repeatable thunderstorm is probably too great a benefit for a mere Nightfall +
per turn.
The 33% evasion from enemy spells is new. (probably should have been listed first so it looks like it is separate from the activated ability)
Gilgamesh
It is a simple but new variation on a previous ability.
I wonder why it was placed in Life.
It seems to be roughly balanced.