Im trying to pin down some personalities for the zodiac kwami who haven't had much screen time and I've decided to start with Ziggy and Barkk.
Barkk seems to be one of the defacto leaders of the Motherbox kwamis, along with Sass and Wayzz. She's very levelheaded and thinks logically. She was the kwami who gave the order to cut the connection with Hawkmoth during Sandboy, which showed that the other kwamis respect her judgments. She and Wayzz were the ones to try to dissuade Trixx from using her power in Gang of secrets, but let her do it knowing that it was the best option. She also is mad at Trixx for lying to Marinette about the side effects afterward.
She was the kwami who stayed behind to watch the box during Furious Fu. She also wasn't trying to go see him during the said episode while even Sass and Wayzz were. It seems she thinks with her mind more than her heart at all times.
She and Wayzz were the ones to leave the room and watch Tikki in Dearest Family and She and Sass were the ones to explain to Luka what the wish actually did in Ephemeral.
She also gets really excited whenever her miraculous is given to a user, but that's probably the same for most of the kwamis.
Basically, Barkk is very levelheaded and logical, but has fun when given the chance to let loose. Honestly a very similar personality to how I see Alix.
Ziggy was a little more tricky since she has fewer lines than Barkk. And while I love @/ronoken's personality for Ziggy in their AUs, I am a canon-compliant bitch and must be accurate.
Ziggy seems to be a very positive thinker. In sandboy. In Sandboy she said that the ceremony was sure to work now that Plagg and Tikki were there and she was also the one most interested in the marker.
In miracle queen she's shown to bleat sometimes when she says a word with the letter A. This isn't relevant to her personality i just think its cute.
In Truth shes the one playing with Marinette's phone. Ziggy says she loves music and that pictures are 'Magic Paintings'
Ziggy also seems very prone to panic, however. During scenes where the miracle box is close to being found, like in Truth or Simpleman(with manon)
In wishmaker she says that Marinette's job is being in love with adrien.
By putting all her lines together, I noticed that Ziggy gets excited with anything to do with art, like the marker in Sandboy or Marinette's phone in Lies. I think it is fitting that the Kwami of Passion is very passionate about art, and also love given her line during Wishmaker. She is also very prone to panic, given her role as the kwami that is always freaking out when someone gets near the miracle box.
Um, it could just be me but i think that Ziggy has very similar personality to Rose. Thats what i see at least.
Anyway thats it. Not any shocking revalations but I just wanted to get my thoughts out there i guess.