In pet battles we will get a lot of different skills and some will act differently to others, so my question to you is what kinds of skills do you want to see?
I'll get things started in the following format:
Skill name - family type - description
*Sacrifice - Undead - Your pet sacrifices a benched pet to increase your current pets max health by 100%.
*Contagion - Undead - your pet inflicts a contagion on the enemy pet and it deals damage each turn for 3 turns, if the pet is switched it before contagion wears off it gives the contagion to the pet it's switched with.
*Whirlpool - Aquatic - Your pet slows the current enemy pet, after 3 turns the enemy pet becomes dizzy lowering the accuracy of its skills by 50%.
*Blazing speed - Elemental - Your pet ignites ignites itself, increasing it's speed but dealing a small amount of damage per turn for 3 turns.
*Puppy eyes - Critter - your pet looks at enemy with cute innocent puppy eyes disabling all their attacks for 2 turns (Only usable below 20% health).
*Shield block - humanoid - your pet raise their shield in defence, over the next 3 turns they have a 20% chance to block enemy attacks.
*System overload - Mechanical - you overload your pets sytems increasing you pets attack and speed by 25% for 2 turns but after that your pets systems will fail and it will not be able to continue.