W (2016)

ML in Shopping King Louie is rich (but loses his memory)

Both are light fluffy romcoms with lots of cute moments

ML in Shopping King Louie becomes much nicer and adorably cute (and a bit stupid) after he loses his memory but is the brooding type before then.

Takashiro Naoya is a handsome salaryman who works for a top company. However, he is also a notorious playboy with a bad taste in women. By chance, he ends up becoming the live-in muse for Fukunaga Akane, an erotic fiction writer who has little experience in love.

Both are full of suspense, thriller and sweet romance... The main leads are really good for both the drama..

A female outsider enters a parallel world by mistake (or not so in MP) and tries to implement her absolute rights as one of the creators of this world in order to change the end result.

They both about crosswords travellers, thriller , romance ,unpredictable ,entertaining to watch and well executed plot . Give it a chance .you’ll love it .

Both delve into the psyche of killers and psychopaths. Both are crime solving dramas and relatively fast-paced.

They are both fantasy guys (one from a comic book and then the other from a stand up pop up cardboard advertisement) and they made an appearance on the FL's life and fell in love...

Both dramas are circled around an airhead and doctor main heroine and a rich-boy male lead. The marriage aspect seems a bit similar as well.

Similarities
-both have fl constantly trying to save ml from death
-both have fantasy theme in SotU afterlife and in W parallel worlds
-both ml are stars whom fl fangirls

In both, the FL is from the real world and enters a manga, falling in love with a character in the story. Eventually, the ML leaves the comics and enters the real world.

-both female lead are transported to a fictional world. FL in Catch Up My Prince is transported to a game world.
-both female leads are interning doctors in the real world and saves the male lead in the fictional world

Switch on is a Thai remake of W K-drama. Switch On plays out as a game-world instead of W's manhwa, but the main story and key scenes are otherwise almost identical. W is a bit more fleshed out with more backstory and character development.

MLs can - among other things - stop time and move around on their own. Both seem to come from different 'verses or different times than the core one.

Also, superpowers - regular superpowers in MB, more like over-human powers in W2W.

Both dramas have self aware manga characters as the protagonists.
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Super natural power , romantic , cute , funny , male chases female , thriller , full of suspense like W