One is Korean Drama the other is Japanese Drama + Movie.
In one the main lead is a girl in the other it's boy.
Both have a time traveling theme. In both it took some time to the main lead to understand the situation… The girl is an actress, she think it's about the period drama she was filming since it's the same period with people with the same name... The boy was in a sort of historic theme park and meet an important historic personage who had a spectacle in the park… So they are both involved with some historical facts particularly for Nobunaga Concerto. They both have some futuristic tools they brought with them in the past. They are plenty of funny moment.
There is more romance in My Only Love Song, and it's ending is happier than Nobunaga Concerto.

Both are Chinese Go Princess Go is a Drama, Yi Xu Yi Nuo is a Movie so it's much condensed. Very similar plot of time travel and body soul swap, but reversed. In Go Princess Go a man from present time travel back in time to end up in a woman body, a princess married with the crown prince…
In Yi Xu Yi Nuo a woman from ancient time (Tang dynasty) travel to our present time in a boy body… She met a man who look exactly like a prince she was in love…(there is some BL).
Both have some funny moment.
Both have quit a sad ending...

Both are Historical Chinese Drama, but Destined to love you is set in a much more resent past. In both the main lead girl is from a modest family an skilled in martial art. For the sake of her mother she end up impersonate an other girl she just met. In Perfect couple she get married with the main male lead instead of the other girl, in Destined to love you she get fiancee with the guy instead of her. At the beginning both couple doesn't like each other and fight but after some time feeling grows...
The girl she took the identity came back later and everything became more complicate…
Plus there is some conspiracy in both...

In both the girl got her house destroy and end up living with the boy, the boy is quite mean with her but the mother want them to be a couple and try to put them together. They go to the same school. They are love triangle. The boy show interest and went bak...
The difference is the girl in kiss me is stupid and love the boy from the beginning, in Master Devil she is intelligent and does not like the boy at the beginning.

In both the main male lead met the main girl lead by hazard and took interest in her.
In both the main male lead are gaming creator and the main girl lead got a strong interest in gaming and end up working for the guy.
It's a relation development. Both couple are very sweet and give the same kind of feeling. Both drama will make you smile (Strong Woman is more funny).

They are both Fantasy Historical Chinese drama so similar universe. They have several races who are enemy : the winged clan and human for Novoland and Demon against the human ally to the beast for Fighter. There is training and improve capacity. They are prince in the mains character. The human queen is not tender with her son. The main lead is involve with fate/destiny witch put their life in danger. There is romance and handsome actors ;)