Heh, I can hear the narrator voice from the Japanese version of Catherine.
Some notable PQ skills shown in the menu during the FOE segment:
Hate Eater: Raises the caster's defence for 3 turns, but he becomes more likely to be targeted by enemies.
Pulinpa
Skull Cracker: Light blunt damage, with a medium chance of causing magic seal (not sure if this is akin to Silence or Head Bind in the Etrian games)
Wind Strike (guessing the name): Deals a light amount of damage of slash/wind element.
Endure
Heal Cup: Restores HP of allies in a single row.
Refresh: Heals allies in a single row of status ailments.
Relax: Heals allies in a single row of binds. (BINDING! This game is taking more from EO than I thought!)
Lightning Wall: Raises entire party's resistance to lightning for 3 turns.
Crimson blade: Deals a light amount of damage of slash/fire element.
Null Sleep
???? Memento: Every turn for the next 3 turns, heal status effects from the caster's row.
Scare Arrow: Medium chance of causing Seal Speed (literal translation of the kanji) status effect.
Paralyze Circle: Every turn for the next 3 turns, medium chance of causing paralysis to all enemies (similar to the Arcanists from EO4).
Rin and Zen don't have a persona at all.
Strangely, despite the skill description saying "Curse" status effect, the animation looked like the Fear status effect in the persona games.