About a terminally ill man who enters into a contract relationship with a woman that he falls heads over heels with and has a connection from an incident that changed her life completely and how they both help each other get over their past and present.

The stories are similiar is that's about a terminally ill patient, given a second chance at life after getting a heart transplant and now lives each day to the fullest until she meets a man that changes her life.

The two are similar in that -- Night Drama is about Japan's emergency medical care system, which suffers from a severe labor shortage. Overtime work per doctor in emergency medical care rises, with a need for more experienced doctors being the cause of the problem. Emergency medical care at night is worse than during the daytime. The Hakuoukai Asahi Kaihin Hospital, a hospital branch of the Hakuoukai Group, takes steps to reform the emergency medical care system by creating a night doctor system, which is looked down upon by their daytime counterparts for taking all kinds of cases, especially the ones that no other hospital wants and therefore creating issues for the day time doctors at least that's how they see it. Cutbacks and hate from different angles start to threaten the night system. Still, teamwork and dedication, under the steadfast leadership of their supervisor, begin to turn things around.

It reminds me of Black Dog, which focuses on the public side of education, whereas Hagwon focuses on the private side without the romance aspect. One focuses on teachers in public schools while the other navigates the life of a lecturer in a Hagwon, and of course the level of services one provides over the other,

Both dramas are about wives who have to start over because of a dead rich husband or a cheating one.
In Rose War Gu Nian's husband, Song Jia Chen, is a successful lawyer and their family of three lived happily. However, everything changes when Song Jia Chen was not only embroiled in a crime but also caught cheating on her. Gu Nian finds work at a law firm through Feng Sheng's referral and attempts to start over.

Another twisted and not very well outlined plotlines or storylines ... both have weak female leads , who lead on their counterparts and just twisted and messy all around.

Both are set in sort of the same time period -- minus the time travel aspect but both deal with crimes and criming solving within a certain period of time when policing wasn't so cut and dry or as cemented as it is today

Both are set in sort of the same time period -- minus the time travel aspect but both deal with crimes and criming solving within a certain period of time when policing wasn't so cut and dry or as cemented as it is today

Both have some kind of genetic mutation kind of feel to them and both feature the same Female Lead with a few differences.

Both international -- feature American and Japanese actors, with Shogun featuring other nationalities as well.
Shogun: Set in Japan in the year 1600, Lord Yoshii Toranaga is fighting for his life as his enemies on the Council of Regents unite against him, when a mysterious European ship is found marooned in a nearby fishing village.

Tokyo Vice: An American Reporter on the Police Beat in Japan is a 2009 memoir by Jake Adelstein of his years living in Tokyo as the first non-Japanese reporter working for one of Japan's largest newspapers, Yomiuri Shimbun.[1][2] It was published by Random House and Pantheon Books.[3] HBO adapted the memoir into a 2022 television series. According to Gavin J. Blair of The Hollywood Reporter, there were individuals that disputed whether certain events in the book happened as stated.[4]

Similiar in that they are both international with American actors -- both feature Japanese and American actors.
Shogun is Set in Japan in the year 1600, Lord Yoshii Toranaga is fighting for his life as his enemies on the Council of Regents unite against him, when a mysterious European ship is found marooned in a nearby fishing village.

Tokyo Vice is set in 1999, American journalist Jake Adelstein has relocated to Tokyo and must pass a written exam in Japanese to have the chance to join the staff of a major Japanese newspaper. He succeeds in becoming their first foreign-born journalist and starts at the very bottom. Taken under the wing of a veteran detective in the vice squad, he starts to explore the dark and dangerous world of the Japanese yakuza whilst living under the city's official line that "murder does not happen in Tokyo".

Both have the same level of mystery and twists within the Police Force. Both are stories of detectives chasing after the truth behind an unsolved crime, that took place in the past, through cases that take place in the present.