Moonlight Mystique was adapted from the novel written by the same author of The Last Immortal, and high chance that they are in the same universe. (Note: ¡they are not sequels or prequels!)
Ancient Love Poetry briefly features the tragic love story of Tian Qi, the True god of Demons and Yue Mi, a prominent goddess. Tian Qi and Yue Mi's story is expanded upon in Chasing the Moon.
There's a similarity between them and that's that the main female lead has saved their future partner who is a demon god and they fell in love with eachother.
Both have same FL played by actress Bai Lu.
Both dramas ML is demon lord.
In both drama FL chase after ML.
Both have cold ML.
Both have funny, cute, intelligent FL.