@Snowfire, suggestions for Lya's Mythic Path: Archmage! Picking the following abilities, of course:
- Arcane Surge (Su): As a swift action, you can expend one use of mythic power to cast any one arcane spell without expending a prepared spell or spell slot. If you prepare spells, this spell must be one you prepared today (even if you have already cast it); if you're a spontaneous caster, this spell must be one of your spells known. If the spell requires a saving throw, any non-mythic creatures affected by the spell roll twice and take the lower result. If you must attempt a caster level check for the spell to overcome a creature's spell resistance, you can roll your caster level check twice (adding your tier to each) and take the higher result. You can't add a metamagic feat to a spell you cast using this ability.
- Deep Understanding (Ex) (Mythic Adventures pg. 15): You automatically identify any arcane spell cast within 60 feet of you if it's on your class's spell list and you're of a high enough level to cast it. Whenever you attempt to identify a non-artifact magic item using detect magic, you automatically learn its properties and command words in the first round of the spell (no Spellcraft roll needed), but you can't automatically determine whether it's cursed.
- Flexible Counterspell (Su) (Mythic Adventures pg. 16): Your mythic power enhances your ability to counter others' spells. As an immediate action, you can expend one use of mythic power to attempt to counter a spell. This ability otherwise works like readying an action to counter a spell, except instead of using the exact spell or dispel magic, you can instead expend a spell or spell slot of a level equal to or higher than the target spell.
- Beyond Morality (Ex) (Mythic Adventures pg. 50): You have no alignment. You can become a member of any class, even one with an alignment requirement, and can never lose your membership because of a change in alignment. If you violate the code of ethics of any of your classes, you might still lose access to certain features of such classes, subject to GM discretion. Attempts to detect your alignment don't return any results. If a class restricts you from casting spells with an alignment descriptor, you can cast such spells without restrictions or repercussions. If you're the target of a spell or effect that is based on alignment, you're treated as the most favorable alignment when determining the spell's effect on you. Any effects that alter alignment have no effect on you. If you lose this effect, you revert to your previous alignment.
- Mythic Spellpower (Sp) (Mythic Adventures pg. 18): You have a pool of magical power you can draw upon for casting mythic spells (see Chapter 3). Up to twice per day, you can use this power to cast a mythic spell without expending any uses of mythic power. You can select this ability up to three times; each time you do, you gain two additional uses of this ability per day.
- Component Freedom (Ex) (Mythic Adventures pg. 18): When you cast an arcane spell, you can ignore one component of the spell: focus, material, somatic, or verbal. You can ignore a focus or material component only if its total value is equal to or less than 100 gp × your tier. You can select this ability more than once; each time you take this ability, the number of components you may ignore for each spell you cast increases by 1. Verbal Component.
- Channel Power (Su) (Mythic Adventures pg. 19): You gain the ability to channel raw arcane power into a spell. You can also expend one use of mythic power when casting an arcane spell to increase its damage by 50%. If the spell has a duration greater than 1 round, the duration doubles. Any saves required by the spell take a –4 penalty, although for mythic creatures, this penalty is reduced to –2. This spell ignores any spell resistance the targets have, although targets immune to the spell or to magic still retain that protection.
- Mythic Spellpower (Sp) (Mythic Adventures pg. 18): You have a pool of magical power you can draw upon for casting mythic spells (see Chapter 3). Up to twice per day, you can use this power to cast a mythic spell without expending any uses of mythic power. You can select this ability up to three times; each time you do, you gain two additional uses of this ability per day.
- Component Freedom (Ex) (Mythic Adventures pg. 18): When you cast an arcane spell, you can ignore one component of the spell: focus, material, somatic, or verbal. You can ignore a focus or material component only if its total value is equal to or less than 100 gp × your tier. You can select this ability more than once; each time you take this ability, the number of components you may ignore for each spell you cast increases by 1. Somatic Component.
- Mythic Spellpower (Sp) (Mythic Adventures pg. 18): You have a pool of magical power you can draw upon for casting mythic spells (see Chapter 3). Up to twice per day, you can use this power to cast a mythic spell without expending any uses of mythic power. You can select this ability up to three times; each time you do, you gain two additional uses of this ability per day.
- True Archmage (Ex): At 10th tier, whenever you cast an arcane spell that targets one or more non-mythic creatures, each of those creatures must roll any saving throws against the spell twice and take the lower result. You gain spell resistance equal to 15 + your highest arcane caster level, but only against arcane spells. Once per round when your spell resistance protects you from a spell cast by an enemy mythic creature, you regain one use of mythic power.
- Display of Intelligence (Su) (Mythic Adventures pg. 50): As a free action, you can expend one use of mythic power to attempt a feat of Intelligence, gaining a +20 circumstance bonus on one Intelligence-based skill check or Intelligence ability check.
Why Arcane Surge? It's inferior to Wild Arcana, but not much. It also keeps Lya's big flavor: Viserys gets any spell from dreams, but Lya needs to learn them first. That's why I was against Wild Arcana. Of course, while Arcane Surge is less versatile it is also more powerful: it allows her to force opponents to reroll successful saves, and lets her roll twice to beat SR !
Most other abilities here were chosen for fluff over crunch. They're all good, and the basic Mythic chassis is amazing on its own, but they aren't the most broken choice at each level. Still, I think that they all fit her very well!