“A Time Called You” (너의 시간 속으로)

A remake of the Taiwanese series “Someday or One Day,” the Korean version of this time-travel drama isn’t always easy to follow. But if you suspend your belief in reality and just go with the flow, you will find yourself immersed in a compelling plot that centers on love, while it also navigates story arcs about guilt, gaslighting and a, erm, serial killer.

“Vincenzo” (빈센조)

The showrunners behind “Vincenzo” took their time in letting the highly engaging story unfold in a believable way. Well, as believable a story as you can have about a Korean-born child who ends up becoming a consigliere for a top mafia don in Italy. This series is one of Song Joong-Ki’s strongest K-dramas.