Magic
Magic that have been replaced by current Pathfinder Rules:
The Mindset descriptor does not exist in Pathfinder. See spellbook preparation (UM, pg. 121) for similar ideas.
Artifact spell rules (SoX, pg. 143) do not exist in Pathfinder, thus none of the artifact spells listed exist either.
Rituals (like that of PGoE, pg. 60 and SoS, pg. 115) do not exist in Pathfinder. However, Dragon Rituals and Dreamtouched States have been redone, each as a new Oracle Mystery.
Eberron Specific Magic Rules
Listed on the following pages are details concerning magic specific to Eberron, most of which is unique.
Eberron Specific Spells and Powers
Also, there are a number of spells that were introduced with Eberron, including the majority of the artificer infusion list.
Spells and Powers (alphabetically)