Info as found hereAnti-Villain: While he's the closest thing the series have to a villain, he's just doing his job.
Attention Whore: White will often do nasty things to others either to get attention or for his entertainment.
Black and White Morality: Proper. Initially though. See Dark Is Not Evil and Light Is Not Good below.
The Bully: While both of them are, Black is the most obvious.
Circus of Fear: ALL of the workers there are actually prisoners granted temporary amnesty.
Clap Your Hands If You Believe: Everyone has their own Joker but Joker needs to be acknowledged, whether consciously or subconsciously, to be "a person's Joker."
Dark Is Not Evil: While Black Joker is a Jerkass, all of his lies usually are in her favor and he can sometimes show a more pleasant side towards Alice, being more Tsundere than a flat-out Jerkass.
Death Is Cheap: They can be killed repeatedly but they won't disappear. It's something Alice has to do herself.
Dissonant Serenity: White Joker.
Dissonant Laughter: White Joker does this in the Big Damn Movie after Vivaldi shoots him.
Gratuitous English: White Joker during circus shows.
W.Joker: Ladies and gentlemen!
I Just Want to Have Friends: In the end, they are lonely, both thanks to their hated role and their unapproachable personalities.
Light Is Not Good: White Joker is polite and fun-loving, he has shown many times that he's more dangerous than Black Joker, showing a more manipulative and possessive side, being more Yandere than just a Nice Guy.
Manipulative b*****d: Both of them.
The Many Deaths of You: Unlike the other role holders, they can't be killed permanently.
Not So Different: White Joker says this about himself and Peter White. Peter agrees.
Only One Name
Sadist: Black Joker, although...
Sharing a Body: While each of them has their own body, they can do this.
Soft Spoken Sadist: White Joker.
Tsundere: Black Joker.
Yandere: White Joker.