There were quite a few really good ones these last 2-3 years. You missed a lot! I watch dramas from everywhere but lately the japanese ones were all old ones so I don't have any between 2014 and 2016.
The dramas in bold are the ones you'll more likely hear often.
In no particular order (because I filtered my list by year) :
2016 :
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Signal : 10/10, korean time-travel police drama. This is my all-time favourite drama and I'm probably not alone. It's the top drama on MDL, a real masterpiece.
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38 Task Force : 9/10, another korean police drama. This one is about a con artist helping a policeman retrieving money from tax evaders.
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Thumping Spike : 8/10, cute web kdrama. It's a noona romance, not much difference in age gap but between a coach and a volleyball player.
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W : 8/10, fantasy kdrama. About a woman dragged into a manwha. It started really good but got a little confusing towards the end. Still, it was an unusual and very enjoyable story. With a better second half, it would have easily been a 10/10.
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The Good Wife : 8/10, romance and law drama adapted from the US drama. I didn't watch the US drama but the ending is different from what I read. It was very interesting and intense at some point. For mature audience I'd say.
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Bring it on, Ghost : 8/10, cute horror and romantic comedy drama. About an exorcist meeting a high school girl spirit, who ends up helping him fight bad spirits.
2015 :
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Love Me If You Dare : 8/10, chinese drama but it felt like a korean one, police and romance drama.
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Splash Splash Love : 9/10, special kdrama with only 2 episodes. Gender-bender time-traveling drama.
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Kill Me, Heal Me : 9/10, kdrama. This one is very special because it's about personality disorder. It's a must watch. I didn't like it that much at first but it became really interesting.
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I Remember You : 8/10, another police and romance kdrama. Yes, I like them ^^ About a profiler involved with a serial murder.
2014 :
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You're all surrounded : 9/10, police and romance kdrama.
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Bad Guys : 9/10, police kdrama. About a team made of dangerous, sometimes highly dangerous, criminals working for the police.
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Cheo Yong (also season 2 from 2015) : 8/10 (and 7/10 for season 2), fantasy and police kdrama. About a cop seing ghosts.
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Secret Love Affair : 7/10, romance kdrama. This is a noona romance but also an adultery story. It was quite slow but very intense to watch. For mature audience.
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Pinocchio : 10/10, romantic comedy and crime drama set in the journalism industry. It seems you didn't watch
I Hear Your Voice (2013), they are quite similar. Moreover, IHYV is a fantasy (the man can read minds), a noona romance and a crime drama.
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Healer : 9/10, action and romance drama. About an errand boy working for the criminal industry.
