Lucky:
Guts. If he is given a status condition (burnt, frozen, Posioned, paralyzed, asleep), his attack stat will go up by 1 stage.

Penny:
Costar. If she enters the field of combat with an ally alredy present, she will copy all stat changes the ally has had, good and bad.

Hangry:
Gluttony. If he is holding a food item, he will eat it sooner than others, at half or less health as opposed to low health.

Cobalt:
Technician. His low damage dealing moves get a buff.

Destiny:
Anticipation. She can sense dangerous moves the opponent has.

Waverly:
No Guard. Her attacks will always hit; but attacks directed against her will always hit too.

Echo:
Forewarn. When they enter the battle, they can tell one of the moves the opponent has.

Ripley:
Defiant. If any of her stats are lowered, her attack stat will go up two stages.

Daley:
Anaylitic. If he is the last one to move that turn, his move gets a power boost.

Matryoshka:
Fluffy. She takes halved damage from moves that make contact, but in turn takes double damage from Fire Type moves.