Magic/Personal Abilities/Magia Record Deceased Girls

Mel Anna

Destiny Alteration: Known as "Future Guidance", Mel had the unique ability to alter the future with her personal reading of Tarot so it would match her predictions.
Wind Manipulation: Mel had the power to create wind cyclones with her attack Dark Arcana.
Electric Manipulation: Mel had the power to create electrical storms with her attack Dark Arcana.

Flight: Etteilla hovers above the ground by barely holding her entire weight on her index finger, being able to float effortlessly through the air.

Internal Damage: Kanae had the unique ability to damage opponents from the inside with her magic (probably with vibrations).
Illusion Clones: It seems that, like Kyoko and Mifuyu, Kanae had some kind of illusion magic to make copies of herself while fighting in her game animations.

Doppel:

Flight: Due to its hummingbird-like body, Kanae's Doppel is able to fly with its wings.
Sound Manipulation: Gibdaughter is able to align the pitch of its singing voice to resonate with any object until it shatters.

Soul of Language/Power of Words (Action Manipulation): It's said that Ruri's unique magic was the same as Temari's unique magic. This means that, like Temari, Ruri's magic helped her to control, directly or indirectly, others through her words, both the ones she said or the ones she wrote.

Presence: She appears in the dreams of others as a premonition, correlated to her witch’s labyrinth and an associated location (the water park).
Coordinator's Wardrobe: Despite (presumably) not being a Coordinator, or void-type, Manatsu was able to give Kyoko and Mami the power to alternate between their normal magical girl forms and their swimsuits. Manatsu herself didn't know what Coordinators were and Mitama, despite her training, was not able to achieve this.