
Berselius |

Can anyone give me a rundown on what the following are for OFFICIAL Pathfinder books (aka NOT 3RD PARTY - except for Playtests done by Paizo Publishing):
Intelligence-based Arcane Spellcasting Classes
Charisma-based Arcane Spellcasting Classes
Intelligence-based Arcane Spellcasting Prestige Classes
Charisma-based Arcane Spellcasting Prestige Classes
Wisdom-based Divine Spellcasting Classes
Charisma-based Divine Spellcasting Classes
Wisdom-based Divine Spellcasting Prestige Classes
Charisma-based Divine Spellcasting Prestige Classes
Intelligence-based Psionic Classes
Wisdom-based Psionic Classes
Charisma-based Psionic Classes

Paladin of Baha-who? |
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This isn't really a rules question.
No prestige class that I can think of makes any kind of differentiation between what ability score is used for the spellcasting class it advances. Some work best with certain classes (in fact, at least one pretty much requires a particular archetype of a particular class) but any prestige class that advances levels in a spellcasting class relies on that base class to determine what the casting ability score is.
Intelligence-based casters: Arcanist, Magus, Wizard, Witch, Sorceror (Wildblooded archetype; Arcane [Sage] bloodline), Alchemist (sort of), Investigator (sort of)
Wisdom-based casters: Cleric, Druid, Inquisitor, Shaman, Hunter, Warpriest, Ranger, Sorceror (Wildblooded archetype; Celestial [Empyreal] bloodline), Quiggong Monk (sort of)
Charisma-based Arcane casters: Bloodrager, Magus (Eldritch Scion archetype), Bard, Summoner, Skald, Sorceror.
Charisma-based Divine casters: Paladin, Oracle, Antipaladin.
Constitution-based caster: Witch (Scarred Witch Doctor orc racial archetype)
As others have noted, there are no psionic classes in any official PFRPG books, nor will there be. The Psychic magic classes, which are distinctly different from psionics, come out later this year and rely on intelligence and charisma, mostly, I believe, but you'd have to look at the playtest to be sure.