My lorikeet gets on relatively well with other birds... when she's naughty, she's just trying to have fun. My three small parrots live in the birdroom together and usually get along. Sometimes my lorikeet will amuse herself by chasing my cockatiel and delights in hearing him screech at her, and recently she pulled out a feather to get a reaction out of him (and then laughed when I scolded her). My pearly conure established early on that he won't tolerate her mischief, so she gives him plenty of space.
She likes to taunt my galah, too... but that isn't allowed, for obvious reasons! She only taunts birds that give her a funny reaction (just like she'll bite people who give her a funny reaction...)