First of all both of these movies share the same main cast (Kobayashi Satomi and Motai Masako) and feature a similar topic of women who go on (prolonged) vacation to find their place in life. While some of the details (and overall vibe) vary, these two productions are really similar

Both shows have the same screenwriter and the same heavy feeling to them; both shows are fairly simple on the surface but a layered mystery lies underneath. Both dramas play with your mind and show you exactly what you want to see. Both shows feature an underprivileged/poor lead - Yan Liang and Yue Pu in The Bad Kids and Chen Youxi in Homesick

Both dramas feature a similar scenario where ML suddenly has to take care of two wives and two sets of children - ones from his "current" identity and ones from his "previous" identity. The difference lies in how the situation came about - Miracle That We Met he reincarnated and in New Face he had his identity changed (against his will).

Both productions feature a similar way of investigating that involves tailing a suspect, Cold Eyes focuses more on blending in, while Nusumareta Kao on straight-up following

Both films focus on the same theme of morally-grey undercover cops infiltrating crime organisations and their uneasy friendship/relationship with gangsters they were supposed to infiltrate. Both productions are heavy in the violence department

Both films were directed by Lou Ye and star Qin Hao as a very imporant character who gets involved in a relationship based around cheating

Both films were directed by Lou Ye and star Qin Hao as a main character who gets involved in a relationship based around cheating

Both MLs are very similar; they fall in love with a woman who changes their outlook forever and they end up following the same path. Both dramas feature scenes where MLs visit brothels or engage in adult activities with women

Both films are set in Tibet and touch upon resolving relationship issues while focusing on themes of motherhood/family

Traditional Tibetan opera is central to both of these films; Atak Lhamo for Lhamo and Skalbe; Drimé Kunden for The Search.

The same director (Lou Ye), Qin Hao as main cast; similar way of setting up the plot and using incomplete/unreliable POVs to fool the viewer.

Same director; the same way of storytelling with nonlinear narrative where reality mixes with dreams and memories