While You Were Sleeping
당신이 잠든 사이에The first pick, and the closest one. Same shape: a legal procedural with a gentle, decent male lead and a female lead whose unusual ability is treated as a fact rather than a gimmick. Lee Jong-suk plays a prosecutor with the same unarmoured kindness. Difference: cases run two to four episodes instead of one, and there is a mild love triangle, handled far better than that phrase suggests.
Hooks early Episode 2, once the three of them realise they are dreaming the same futures.












