Snakes
Most snakes have telekinesis, or other mentally controlled powers. [No mind control UNLESS you have permission] Some also can escape the grip of time, basically whenever someone pauses time it doesn't effect them.
Element: Earth/Death

Nekos
Healing abilities.
Element: Earth/Light

Dragons
Depends on the dragon. See fire dragons, ender dragons,

Crows, Phoenixes, Fire dragons
The ability to speak with the dead, whether it's summoning a spirit or seeing ghosts.
Element: Fire/Death

Werewolf
Enhanced hearing, required to be more ferocious than normal.
Element: Earth/Fire

Brine
In normal form, levitation and fireballs are allowed. A brine can reach full form by transforming, which takes around five minutes.
Element: Fire/[Light/Death]

Bunny
Enhanced jumping height, required to be somewhat hyper.
Element: Earth

Crystal
Can "speak" with rocks
Element: Earth

Birds [MOST]
The ability to pause and continue time.
Element: Air

Owls
Can break the sound barrier, basically make a really loud noise.
Element: Earth/Air

Shapeshifter
Shapeshifting??
Element: Any

Fox
Invisibility, but only for short periods of time.
Element: Earth/[Fire/Water]

Ender Dragon
Can teleport [Limited teleports within a day]
Element: Electricity/Death

Angel
Teleportation, can control light, can see dead
Element: Light

Fairy
Always have good luck, minor healing abilities
Element: Light

Falcon
Enhanced speed and viciousness.
Element: Air/Death

Otter
Can breathe and see underwater
Element: Water

Spider
Enhanced agility, slight lack of gravity
Element: Earth/Air

Vampire/Bat
Poisonous venom
Element: Death/Air/Earth

Tiger
Minor ability over fire, only activated under certain emotions like love and anger.
WHITE TIGERS ARE A SPECIAL CASE-
White tigers can not activate their flame unless going through extreme emotional distress. Some white tiger hybrids never activate their flames. The colors of their flames are the same as the colors of their souls, which are only visible to angels.

Lynx
Lynxes are agile, flexible, and are very rare hybrids.