A main character is a cat-human. Both dramas are fluffy and cute and don't take themselves too seriously.

Main character (ML vs. FL) transforms between cat and human.
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FL writes a story that comes to life, falls in love with the main male character of her story.
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Similar dark vibes, and themes of murder and a couple against the world. ML desperately needs the FL and the FL is willing to do anything to save him.

Similar themes of murder, trauma, and guilt. Both characters are damaged and find healing in each other, even though their relationship is unusual and messed up. Both are very engrossing Japanese dramas with a similar slightly unsettling tone.

Both couples are traumatized and damaged from their past experiences and find healing and comfort in each other, despite guilt and shared trauma.

Fake brother-sister relationship between the main couple (in CL both know its not true vs. LBTI where the ML knows its fake and the FL thinks he is her brother at first). Similar vibes of their relationship as well. Both are historical setting (LBTI also has fantasy elements but CL does not).

Visually impaired lead (ML vs. FL) whose sight is later restored. Both leads suffer some form of trauma and the ML is shut off from the world in a way. The main couple endure a long separation before finding their way back to each other.

Both leads have suffered loss or trauma and are distanced/cut off from society. The ML has a history of getting into fights. Both have a melancholy tone with a theme of slowly healing.

Both ML and FL suffer/have suffered loss or trauma. Both heal and slowly move forward with each others' help. The tone was similar in many ways.

The same events and time period, but one is a drama and the other a documentary. Both are very difficult to watch, but important and moving.

Similar love triangle. Many misunderstandings between the main couple.

Also in part 2 of the first season of Unique Lady, the FL agrees to go away with the SML, just like in ATWIL, but ends up returning to the ML after discovering he was wounded protecting her.