Fire fairy  gets angry without reason
Water fairy
Air fairy
Dark fairy  evil but only some dark fairy are evil others like to pull pranks

Poison fairy
Forest fairy
Light fairy  the good fairies that look like angels but are not angels

Earth fairy
Spy fairy they spy on whoever they want to or need to only some are evil some just spy cause it's fun
Shape-shifter fairy they can Shape-shift into whatever or whoever they want to

Vampire fairy these are vampire fairies
Immortal fairy  they can't die if they do they come alive at random times

Ghost fairies different from the immortal fairies they are ghosts of fairies who have died

Any others I forgot just comment below