Ok so this is some of their animal spirit
Lucy:
When she uses it's magic
Abilities:
Can command and summon Ice and Crystals
When hit by the 2 ends of the hammer, the enemy will froze, while the wings like at the top can shoot ice and crystals, it can also unfroze the victim
Karma:
Obviously he can summon and command fire
I'm not sure if there is 8 dragon heads surrounding him but anyway it can stretch to bite the enemy, it can also shoot fire out of it's mouth
His sword can cut everything like Alibaba's sword when using Amon's djinn equip
Kayano:
Can summon and command sakura or cherry blossoms but of course deadly XD but can be beautiful if asks
Can fly using the umbrela thingy
When she swings the umbrela, it can produce air like tornado
Nagisa:
He can produce poisonous gas
He can talk to other snakes and can command however he likes
The white snake can turn into large size to use for flying
The black snake can be very protective of it's owner so if someone touch it's owner, it will attack you