Scarlet Heart: Ryeo is a Korean TV show in which Hae Soo (female protagonist) travels back in time to the year 941 after drowning in a river. While her transition to this new era was difficult it is there that she falls in love with 4th Prince Wang So whom also later falls in love with her. They didn't always have it easy as living in the palace meant certain sacrifices, and regulations had to be met keeping them apart. We see their story unfold as the palace/empire itself is being threatened.
The main actors in this show are Lee Joon-gi as 4th Prince Wang So, Lee Ji-eun as Hae Soo, Kang Ha-neul as 8th Prince Wang Wook, Hong Jong-hyun as 3rd Prince Wang Yo, while the executive producers are Jo Jung-ho, Yang Min-suk (ko), Kim Kyu-tae. This show aired on SBS a Korean TV station, but can be watched now on site such as Dramafever.com, Amazon, iflix (App).
Link: https://youtu.be/Rd2IbHgcd0A