Lisa

Her honest personality is unknown. Though, she is mostly shown to be asleep, leading us to believe she's lazy. Though she may just be asleep because she's a kitten.

She is a small white kitten with grey patches all over her pelt. Her eyes are rarely open, but in Yoosung's after ending it reveals that her eyes are golden yellow.

She was abandoned by her mother, and Jumin found the gardener trying to shoo her, so he quickly brought her inside, but Elizabeth 3rd wasn't pleased. He then spends the next few days trying to get her a permanent owner.

Jumin

He found Lisa in his garden and took her inside, making him her original owner. However, Elizabeth 3rd dislikes Lisa so Jumin attempts to give her to the other members.

Yoosung

On Day 9 of Yoosung's route seen in Jaehee's visual novel: He went to Jumin's condominium and asked Jumin favors to 1) convince V to get treatment for his eyes that are worsening and turning blind, and 2) to send security guards to where MC is since he can't go to MC's apartment because he doesn't know the address thus, he can't protect her. Jumin agreed to do his favors under one condition, and that is for Yoosung to adopt and take responsibility of Lisa.

Yoosung is the current owner of Lisa, as seen in his After Ending.

Jaehee

Jumin constantly tried to give Lisa to her, though she always refused (as she hates cats) They most likely have not formally met.

707

They're not properly acquainted, however, 707 constantly tried to convince Jumin to let him own her.

He's on Jumin's "doesn't meet the standards list" because of how he treats Elizabeth 3rd.

Zen

He isn't quite fond of her because she's a cat.

Zen is on Jumin's "Doesn't meet the standards list" most likely because of his hatred of cats.

MC

After the bomb is found, MC is put onto Jumin's "Doesn't meet the standards list". However, in Yoosung's After Ending it is shown that she and Yoosung are the owners.