Fight for You

...Watch it and you'll know
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Both are BLs in which one of the leads is a cop investigating the other lead who is/he suspects is a criminal.

Both are Taiwanese BL dramas with a haters turned lovers type of storyline with both guys in the main couple having contrasting personalities. The plots of both have some lighthearted moments that is not too serious.

Both are Taiwanese BL dramas about police officers being tasked to investigate their love interests because he is in the mafia (HIStory3: Trapped) or in a company that does illegal jobs (Fight for You). Both have a rivals to lovers plot.

Both are Taiwanese BL dramas about 2 guys that live together in the same house. There is also a character (side character in See Your Love) that is supposed to be a bad guy by being tasked to kill someone, but he is unable to have the evilness or courage to do it.

Both are Taiwanese BL dramas that are produced by the same company VBL. Fight for You is a rivals to lovers plot while Eternal Butler is a protector/spoiled rich boy to lovers plot.

Both are Taiwanese BL dramas whereby the main couple has two opposite personalities that are forced to live together in the same house and have an enemies to lovers dynamic.