The Imperial Coroner (2021)

Both FLs are talented coroners and MLs are initially disguised princes who work together to solve a case.

Both are really well made and highly enjoyable dramas about Coroners/Forensic Medicine in Ancient China and Crime Investigation. Both have capable and smart characters who don't mess around, and the plot is carefully designed and fast-paced, not a single second is wasted. I wish there were more dramas like this.
About Judge of Song Dynasty, don't hesitate because it's an old drama. Only the camerawork/color palette is dated (actually better and consistent than some dramas these days) but everything else is really good and holds well against time.

Young girl Chu Chu came from a family of coroners. She meets Prince Xiao Jin Yu, a dignified prince in charge of criminal lawsuit who appeared weak and sickly. Prince Xiao lacks reliable manpower to investigate case, while Chu Chu lacks people to step up, take charge and be a man.
Together, they manage to unravel a shocking case that has dragged on for 18 years. After solving the case, she won the Emperor's approval and is finally certified as the Imperial Coroner, fulfilling her life goal.

High-quality period detective drama with a similarly small, focused cast, tight plot, and case-solving structure.

Want to watch a real storyline then this is a way better pick.
Even the cover is similar to the Imperial Coroner poster

Detective genre in ancient historical setting
Set in Tang Dynasty Chang An
FL Chu Chu came from a family of coroners.
She pairs up with a ML to solve crime

Both involve a smart FL who has an ability to solve mysteries by using her skill and mind. Both have enemies around them that they can't see just yet and both have to deal with a scandal and conspiracy that with both FL and ML plus friends help solve who's th real antagonist at the end.

Although Go East is more comedic, both sramas are about two sets of couples solving cases, with one couple doing all the fighting and the other couple doing all the thinking.

I recommend this both drama because , Male lead and Female lead
try to solve problem
In one drama explosion and another student murder/suicide

Both FL is a coroner in ancient China. Intelligent in uncovering cause of death. Both FL become instrumental in helping ML solve cases. Both ML have a magistrate type of post. Both ML are intelliegent, well respected and feared by many