Of all the pet powers in existence, there's a few that stand out. Not only are they unique, they also have their own special image! I'll list them all.

Earthquack: Removes all positive and negative effects.

Fandango: Doubles all pet allies Power, Guts, Guile, and Grit.

Get Chummy: Deals damage, ignoring armor.

Ice-O-Lation: Freezes the target in a wall of ice.

Lionheart: Gives allies a healing effect for three rounds, and poisons enemies for three rounds.

Rainbow Blessing: Boosts up to seven random attributes for your team for three rounds

Sandstorm: Deals damage. -100% Accuracy and -50% Movement speed for two rounds

Sweet Meteor of Doom: Damages all Pets and Summoned Creatures.

Time Warp: Grants bonus attack talents (Relentless, Burst Fire) and adds +100% movement speed for 3 rounds.

Victory Pie: Attacker and Target have NO Weapon Power for three rounds.

My thoughts on these powers.

Earthquack would rarely be useful, mainly because enemies don't normally boost their stats, and it would take away YOUR boosts too.

Fandango is really only useful in Pet PvP.

Get Chummy's usefulness increases with the amount of Armor your opponent has.

Ice-O-Lation can stop the target, but it also creates extra obstacles, too.

Lionheart is one of the more useful powers. Healing your team and poisoning the enemy is really a great asset.

Rainbow Blessing is probably the most commonly seen Superpower, and for good reason. The only problem is that you don't know which stats it will boost.

Sandstorm is a Burst attack, like Bonnie Anne's Scatterblast, which means it can hit multiple enemies. Lowering accuracy and movement speed too makes this Superpower very powerful.

Sweet Meteor of Doom is also only useful in Pet PvP. Outside of it, all that happens is your pet hitting itself.

Time Warp is by far the best of the lot. Not only does it add ranks of Relentless and Burst Fire, it also doubles your Movement Speed!

Victory Pie is best on pets not designed for combat. That way, it can lower the enemy Weapon Power to absolutely NOTHING and face little repercussion.

These are the Pet Superpowers.