You have a very similar taste to me, so here are some of my favorites that I recommend.
Go Ahead +1 I also recommend this drama. The ML chases her first and supports her. Although yes there is a lot of family problems on the MLs side. But besides that I definitely recommend.
Assistant of Superstar I feel like this one checks almost every single box. It has an adorable ML who falls for her almost immediately and starts to chase her. The FL has social anxiety, so she's afraid of big groups of people. But it's adorable because the ML tries to help her out as much as possible. He is childish from time to time, but he makes it work. haha. There are no family problems, and better yet a happy ending. This makes for a great watch, I always recommend it. If you like this drama I also recommend Moonlight. It gives the same vibes. Famous ML falls for the "assistant" and tries to win her over.
My Little Happiness +1 The leads here are absolutely adorable, not just the main leads but the secondary couple as well. This couple is the definition of supportive. Plus, it's just overall a cute watch.
Exclusive Fairytale This gives me "Hidden Love" vibes. This drama is a ML chase FL first drama. It's absolutely adorable. The ML is such a green flag and there's no dramatic family issues. If anything the two families want them to be together. It's so cute with a happy ending for all couples. I definitely recommend.
Professional Single It's been a minute since I've seen this one, but I do remember how good it is. This is also a ML chase FL first drama, but I feel like they fell for each other around the same time. There is a love triangle here but nothing too hard on our hearts lol. It has a happy ending, and there's not family drama and angst. It's a happy youth drama.
My Unicorn Girl, To Fly With You, Skate into Love. These 3 dramas revolve around the "ice world." It has a theme of skating. These are all youth dramas and hey take place in college. There is literally no sadness or angst here. If you want a rom-com, here you go. haha. A couple of these have a love triangle, but again nothing too serious. All of these are ML chase FL first, and once they get together it's pretty much smooth sailing. All 3 of these dramas main couples have the bickering to lovers relationship, which I think is so cute. And yes, it has a happy ending.
Dear Little Mermaid This one is for sure ML chase FL first. It's so funny. Once the ML sees the FL again, he vows to not let her go. Not only is this drama adorable and funny, the ML is so caring. Once he learns about the FLs illness (not serious by the way, she doesn't die, and isn't an illness that will make you bawl your eyes out.) he takes care of her and is such a green flag. There is a love triangle in here, although it's nothing that makes you get 2ML syndrome, he gets his happy ending with another girl, so don't worry about him. Overall a cute drama with lots of jealousy scenes, and a happy ending. 1000/10 recommend.
Sweet Teeth This is also ML chases FL first drama. At least that's what it seems like. You can definitley tell that the ML fell for the FL pretty quickly, so I count it as one. This drama also has 3 couples that are absolutely adorable, and they all have happy endings. There is a slighttt love triangle between the main couple, but it only lasts for a couple of episodes near the end. And better yet, there are no family problems or annoying 2nd leads.
To the Moon and Back This is a Thai drama, so I don't know if you watch those, but I still recommend it. This one is not exactly like your list. There is actually quite a bit of family problems. Such as the MLs family not approving of the FL and trying to get the ML with someone else. Butttt, hear me out. despite the family issues, the ML refuses to leave the FL. They are absolutely the cutest. Despite his opposing family, they never break up and they get their happy ending where the MLs family finally accepts her. There is a lot of drama here, but it's worth the watch in my opinion. There is a lot of comedy from the FLs family and the MLs coworkers to make up for the "drama."
Sorry for the long list, there's just so many out there. I definitely recommend looking into more "youth dramas" like Forever Love, You are Desire, When I Fly Towards You, etc.
Honorable Mentions also worth the watch that you might like.
Once We Get Married, I Hear You, King The Land, Fall in Love With a Scientist, I Hate You, Juliet!
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