There are many differences between the plots and characters, yet they share a number of enjoyable similarities. The action and plot are quick, entertaining sequences that are more prominently seen in Chinese/tawainese dramas, meaning they lack the typical refinement of Korean action. Side characters are largely used to overtly induce laughter with their exaggerated facial expressions and personalities. Both also feature a main male lead with mysterious ties to ancient times and unbelievable abilities. Watch these if you want something entertaining without being too heavy.
They both have private dectetives who do anything for money and women, but have a sense of justice of some sort. The main leads in both series have the same vibe. The only difference between the dramas is the sci-fi focus on The Crossing Hero, but even in the action, Ji Woo and Hong Xiao Dong are two sides of the same coin. If you like Fugitive you will like TCH.