Just a few analytical comments.
Narcissism: While it might seem balanced on a skirmish level (e.g. trying to start a revolt, or wipe out an enemy bireme nuke), this seems to be a little too powerful on a larger scale, such as sieges between major alliances in CQ. (Cast Narcissism, then City Protection.)
Charitable Festival: Seems reasonable, although dependent on cost, it could be one of the top-level spells if combined with Heracles favour generation. Clarification on what counts as a "power" would be useful - is it spells, tokens, or both?
Hymn to Aphrodite: Again, balance is cost-dependent. More useful than Happiness for active farmers. Again, clarification on what counts as a "power" would be useful.
Pygmalion: An interesting idea. This would make Aphrodite the default god for all LS nuke cities, where that 225 extra population is particularly useful. It would be useful to know if passive spells can be purified - if they can't, it's a slightly-restricted but much more accessible version of land expansions.
Siren: I don't see any real issue with the normal stats - it is faster than any existing naval unit, but it is weaker than a trireme in attack and defence, meaning that it is significantly weaker than LS or biremes for their respective roles. As much as I hate the term "broken", the passive ability is extremely powerful. You could have an escort of 24 Sirens for a 48% speed boost, without risking Sea Storm (the reduction in naval combat power of a CS wave doesn't balance this). Presuming that this stacks with the other speed boosts in the game, it could be practically impossible to spot CSs on revolt worlds (at least on conquest, you can assume it's the last attack before any supports, unless the opposition has sent fakes). If the stacking cap had a much lower limit, they would be an interesting addition to the game - as it is, they seemingly invalidate the idea of sniping on revolt worlds, as well as generally making defending much harder on any world type.
Satyr: Nice unit. It's good to have a sharp attack unit that isn't a manticore, given that every other sharp "attack" unit was a dual-role unit and therefore wasn't particularly population-efficient in attack by comparison. I'd like to believe that the unit speed is a mistake (with the intentional value being 13 or 16), but as it's not a flying unit, the speed isn't important except for same-island attacks. (It's still too fast, but not as game-breaking as a Siren by any means.)