My Lovely Liar (2023)

Female lead with supernatural power
Second male lead both a police officer with a prior relation or friendship with the FL

Not exactly the same but in this drama people cannot hide their true feeling or attraction towards each other . It is a good drama

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

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 are about one of the leads having the ability to hear people's thoughts, resulting in them becoming somewhat jaded with the world.

First of all, Both give a similar vibe with how the character were written to be. Both shows plots are a ridiculously scenarios. Both shows main leads have to figure out how to coexist and eventually they find that they enjoy spending time together. I don't know if it's just me but I think since they both are from the same network company maybe writers or producers from one show worked on the other show, making them very alike.

Other Similarities:
Both Female Leads are strong, hardworking, quick witted women.
Both Male Leads are misunderstood in the beginning and overtime learn to be understood.
-It's still too early to say that the ML from wedding impossible is misunderstood but I think he acts out but he's intentions are different from what the FL sees.

Both feature a once superstar level male lead brought low by an event in the beginning and the mystery around that event.

FL has a special talent/power in both series and FL and ML team up to try to solve a big mystery. Both involve shamanism.

In both, the lead (FL vs. ML) can "hear" a person's secrets (thoughts vs. lies) and as a result they have a somewhat jaded view of people.