They both are quite similar. In Padiwaradda, he's a sheriff whereas in MLSG, he is something of the same sort (forest officer, I believe). Both are set in a village. Also, the female leads in both are not who u expect to be. Their real identities get revealed at one point in the drama.

These 2 are kinda similar with the arranged marriage, both of the female leads being in love with the male leads even before their marriage, the male leads being a bit reluctant to marry etc.

In both these dramas, an officer/prosecutor both develop teams in order to catch the bad guys. Bad guys age of evil gives me Leverage vibes

In both the dramas, there is a loss of loved one before they start investigating. Also when read about Mad Dog, it gave me Vagabond vibes.

Both have time travel in them. In CC, she is a chef whereas in MOLS she is an actress. Both the dramas had cute romance between the leads aswell

In both the dramas, the female lead gets transported back in time to another era. OME is chinese whereas ML is Korean

In both the dramas, the female lead pretends to be a guy and they seem to earn the respect of their peers gradually . To the beautiful you is school based whereas Arsenal Military Academy as the name suggests is military based.