Attacks

Pink Sugar Heart Attack: SailorChibiMoon uses a heart wand that dispells pink hearts in order to distract the daimons in SailorMoon S. This attack often fails, but is adorable anyhow.
Twinkle Yell: SuperSailorChibiMoon uses this phrase in SailorMoon SS. She rings the bell on her Crystal Carillon to summon Pegasus for help. SailorMoon's Moon Gorgeous Meditation follows it.
Moon Princess Halation: An attack used by SailorMoon and ChibiMoon together in the manga.
Double Rainbow Moon Heart Ache: ChibiMoon does a double rainbow attack during Act 33 in the manga.
Double Starlight Honeymoon Therapy Kiss: In the last saga, SailorStarChibiMoon performs this along Eternal SailorMoon.
Moon Gorgeous Meditation: SS ChibiMoon does a duet attack with SailorMoon only in the SS movie.
Pink Lady's Freezing Kiss: SailorStarChibiMoon uses this attack only in the manga.

Henshins

Moon Prism Power, Make Up! : ChibiUsa uses her prism brooch to transform into a senshi in the S movie.
Moon Crisis, Make Up! : ChibiUsa and Usagi recite this phrase to transform into super senshi together. This is the *coolest* henshin ever!

Other Abilities:

Luna-P Henge! : ChibiUsa dribbles her Luna ball, and it gives her anything she wants. Look like Luna.
Moon beam: When ChibiUsa is angry, sad, or scared, a crescent moon appears on her forehead and gives off lunar energy that alerts people of her presence.