You could check out 'Toradora!'. In this manga, the main guy is initially seen as a loser but has a relationship with a popular girl. The character development and their interactions are quite engaging.
One such manga could be 'Ouran High School Host Club'. It has a popular girl and guy among its characters.
Well, 'Star-Crossed Love' is a manga that fits. The shy girl is constantly intimidated by the popular guy's presence, but as the story progresses, they discover hidden sides of each other. There are lots of ups and downs in their relationship that keep you hooked.
It might be a coming-of-age manga that shows how the girl and the younger guy grow and change together as they navigate their relationship. Could also involve elements of self-discovery and personal growth for both.
Well, it could be that she has no friends, fails constantly, or has a really negative attitude.
You might want to check out 'Toradora!'. The male lead's attempts to win over the female lead make for an engaging read. The character development and plot twists keep you hooked.
One story could be that the shy guy first noticed the girl in a library. He was too shy to approach her directly. So, he left a little note on the table she was sitting at, with a simple 'Hello, you seem really interesting.' The girl found it cute and later they started chatting through small notes left at that same table. Eventually, they got to know each other better and started dating.
I'd suggest looking at 'Fairy Tail'. Lucy is often headstrong in her decisions and Natsu can come across as aggressive when fighting. The combination of these character traits adds depth to the manga.
One common theme could be the exploration of age-gap dynamics and the challenges that come with it. Tropes might include the older guy being protective or the younger girl being rebellious.
There's a story where a black girl and a white guy met at a music concert. The black girl was really into the band and the white guy noticed her enthusiasm. They struck up a conversation and exchanged numbers. Their relationship grew from there. They faced some stares in public sometimes, but they didn't let that stop them. They learned a lot about each other's cultures and it made their bond even stronger.
Well, love and romance are usually big themes. Also, communication and understanding between the couple often play a role.