Rooftop Prince
옥탑방 왕세자 (original)
A crown prince is transported 300 years into the future, where he assumes a new identity to be near a woman who resembles his late wife.
Starring Park Yoo-chun, Han Ji-min, Jung Yu-mi, Kim So-hyun, Lee Tae-sung, Jung Suk-won, Choi Woo-shik, Lee Tae-ri, Na Young-hee, Ahn Suk-hwan
Watch "Rooftop Prince" from streaming services Netflix, Rakuten Viki released in 2012. It's a drama and fantasy show, and has a rating of 7.7 out of 10 from Imdb which is usually fine for this kind of show.