I don't know which ones you have seen, but these are some of my favorites that I definitely recommend.
A Camellia Romance: This one is historical. The FL is being forced by her stepmother to marry, and she meets the ML while running away, who falls for her almost immediately and tries to find her after she departs. Later on we learn that he will be her future husband. She tries to get out of the engagement, while he tries to get her to fall for him. Super cute romance. It's not like super romantic, but definitely gives you butterflies.
Something about 1%: This is the remake of 1% of something, quite frankly, I like this one more than the original. I love how obsessed he gets with her. The FL assists the ML's grandpa, who she doesn't know who he actually is. Because of the kindness she showed him, the grandpa wants to give her the company shares or something ( I don't quite remember...) So, the ML is convinced that this girl did something to his Grandpa. But in order to get his shares back the ML must marry/date the FL. After setting up a contract between the two, he starts to fall for her, and doesn't want it to end.
My Secret Romance: This one is about how the 2 leads had a one night stand, and the FL ran away. The ML has been in love with her ever since. One day she joins his company not knowing he's the CEO. He tries to get back at her for leaving him that night, all the while we have her friend who is also in love with her. This is a good romance that definitely has more than just a "peck" on the lips.
Leh Ratree: This is a Thai drama, not Korean or Chinese, but I enjoyed this drama. The FL's father stole money from the ML's company, so in return the father decided to give them his daughter to take care of the debts. The 2 fall in love despite the difficulties of their past lovers. This is not only a romance, but it's a comedy as well. A lot of Thai dramas are very dramatic and overdone. But that's not the case with this one. I always recommend this one to people who have not seen Thai dramas.
Assistant of Superstar: This one is soooo adorable I can't even. The ML falls for the FL so fast it's adorable. The ML is an actor who is trying to get a role for a historical show, so he hires the FL to assist him with knowledge. She later becomes his assistant, and thus start a cute romance.
Moonlight: Gives me similar vibes to "Assistant of Superstar." The ML is an author and the FL is trying to become a publisher. She attempts to get the ML to sign the contract with her company, by doing so the ML falls for her and tries to get her to fall for him. Very adorable, if you like "Assistant of Superstar" chances are that you'll like "Moonlight" and vice versa.
My Unicorn Girl: The FL is an ice skater who barley missed out on joining her schools skating team. So she disguises herself as a guy when she gets accepted into the hockey department. Little does she know that the ML has prospogandia (face blindness) and can't recognize faces accept for hers. Early on he finds out that his teammate is actually a girl. So he does his best to keep her secret by sharing the same dorm with her, and protecting her in whatever way he can. He also falls in love with her fairly quickly. Which of course makes the drama 10 times cuter.
Once We Get Married: Another contract relationship. The 2 leads decide to get married to help with his business proposal. But as they get to know each other they fall in love. And yes, the ML falls first. I have plenty other recommendations like this. lol
Su Yu: This is basically the historical version of "What's wrong with Secretary Kim." This is super adorable and worth the watch.
Additional Dramas worth the watch with no explanation..
Skate into Love, Sweet Teeth, The Sand Princess, The girl who sees scents, The Romance of Hua Rong, The Wolf Princess, Dear Little Mermaid, Accidentally in love, Mad For Each other, Doom At Your Service, Casting a Spell to You, Dine with Love.