As Spoken on Discord heres a List of Abilitys, hopefully Complete.

Pet Family: "Moths" Spellname: "Serenity Dust" SpellId: "264055"
Pet Family: "Sporebats" Spellname: "Spore Cloud" SpellId: "264056"
Pet Family: "Water Striders" Spellname: "Soothing Water" SpellId: "264262"
Pet Family: "Bats" Spellname: "Sonic Blast" SpellId: "264263"
Pet Family: "Nether Rays" Spellname: "Nether Shock" SpellId: "264264"
Pet Family: "Cranes" Spellname: "Chi-Ji's Tranquility" SpellId: "264028"
Pet Family: "Spirit Beasts" Spellname: "Spirit Shock" SpellId: "264265"
Pet Family: "Stags" Spellname: "Nature's Grace" SpellId: "264266"