OK. So everything should fall into these categories, then. Let me know if anything here seems wrong.
Clarifications: Conceptual Manipulation, Destroy things from the Distortion World, Non-Corporeality, Power Nullification for Arceus, Information Manipulation for Uxie, Attacking Incorporeals for Arceus, Non-Corporeality for Giratina's Avatar
Accepted Removals: Void Manipulation, Immortality Type 9, "Spirit Destruction" for CT, Dream Manipulation for Arceus (Becomes "likely"), Use of All Moves for Arceus, , Law Manipulation for Arceus, Chaos Manipulation/Embodiment for Arceus, Resistance to Power Mimicry for Arceus, Power Negation for Giratina, Reality Warping for Lake Trio, Immeasurable Speed, Causality Manip, Magnetism Manip for Arceus, Immunity to Soul Manip.
Rejected Removals: Immortality T4, Resistance to Telepathy for Arceus, Physics Manipulation for Arceus and Giratina, Power Nullification for Giratina, Power Mimicry for Mesprit, Darkness Manipulation for Arceus, Resistance to Mind Manip for Giratina, LT Soul Manipulation.