Can anyone recommend me dramas in which the Female lead is an introvert or rude and the male lead is exactly her opposite?  I have watched a mini-drama named "Individualist Ms Ji Young" and loved it.

Hii :) I think now of a few series:

1 - The Best Chicken - The female lead is sardonic and very apathetic, while the male lead is enthusiastic and kind. The female lead in this series is also the villain! 

2 - Are You a Human Too - I only watched several episodes and parts of the series 'cause I couldn't stand the female lead character (who was unnecessary in the plot; nonetheless I finished the series. No one can stand Seo Kang Joon's extraordinary charm and talent!). However, the main couple - a robot and a female bodyguard match what you look for. The robot is a compassionate, gentle creature while the female lead is unsensitive and heedless.

3 - Weightlifting Fairy, Kim Bokjoo - Bokjoo's uncle, Kim Dae-Heo, is sophisticated and cool, but also a wimp. He would fall for Bokjoo's coach assistant, who is tough and callous. I personally dislike that assistant, since she uses a lot of violence and gets away with it. I currently watch the series, and they will probably end up together.
In my opinion, if Bokjoo's uncle sometime discovers what that assistant did to his precious Bokjoo... I really hope he teaches her some lessons.

EDIT: Bokjoo's uncle ended up with another girl! I don't like the happy ending of the coach, who ended up with the professor. He is a good man who deserves someone honest and warm.

4 - Dream High  - Go Hyemi (portrayed by Suzy) is ruthless while the two male leads are more emotional. However I don't take she is an introvert.

5 - Because This is My First Life - The third couple: She is secretive and sensitive and he is a zealous start-up CEO.

6 - My First First Love // or Because This is My First Love - The main guy (played by Jisoo) is lively and vibrant while his best friend (the girl) is introverted. I recall she was crude, reticent and phlegmatic. This is on Netflix and I haven't finished it yet. I really hope she would end up with the other guy though :D

7 - Heading to the Ground - This drama is rather classic(it was released in 2009), and consists of a main lead who is simple and not that smart, with a much smarter and more refined love interest. This drama is reversed, since the main male lead is the simpleton, played by Yoonho (U-Know). The female is the complicated character with mommy/daddy issues.

8 - My Girlfriend is a Gumiho - The Gumiho is a delicate, quiet yet brisk and refreshful character and the male lead (played by the one and only Lee Seunggi) is an ardent, scintillating extrovert.

9 - Love Rain - The father of the male lead and the mother of the female lead. The aspiring painter/artist is more extroverted than his love interest. If it were up to me, I would watch a series only about them <3

10 - Secret Garden - The male lead is an ebullient extrovert while the female lead is a stony, "please-let-me-be" kind of character. 

11 - Her Private Life - Despite his serious countenance, the male lead is a passionate extrovert. The female lead is a zippy introvert. When the too get together, they're unstoppable!

12 - Kill Me, Heal Me - I've only watched one episode so far. This is the series where Ji Sung plays a guy who acts out "aegyeo". I'm still unsure how it will be depicted on the series.

13 - I Do, I Do - Here there is another drama with flipped roles: the successful, rich, hot and fierce one is the main lady, while the guy is an innocent youngster of a humble background.

14 - Cinderella Man - Another drama with flipped roles, but not to the extent of having this obvious. The male lead is a slick-talking extroverted, and the female lead is the complicated introvert.

Series in which both main leads are introverts or rude:

1 - Because This is My First Life - The two main characters are introverts, albeit the female is more open. Before the end of the series she makes an inconsiderate decision but they are pretty much a good match, they barely fight if at all. The second couple fights all the time, I think they are introverts too.

2 - 100 Days My Prince - The two main characters have strong and loud personalities.

3 - Full House - My favourite classic of all time <3 Jieun and Youngjae argue non-stop. They are very rude and loud; that they seem like little kids at a playground. Although Full House has many classic K-drama features, this is a drama where the two outsmart each other and even though Jieun is supposed to be the dumb simpleton, Youngjae has his own fare share of mishaps.  No one is "this" and "that". I guess this is why the drama has met such huge success.

Flower Boy Next Door

  • +1 Flowerboy Next Door (I dropped this drama) - Although the FL is a complete shut in and very shy rather than being rude, the ML character and the dynamic between the ML and FL is quite similar to Individualist Ms Ji Young
  • +1 Dream High
  • +1 Itaewon Class (although the ML and FL are opposites in some aspects - e.g. the ML is very principled and honourable as well as compassionate and open minded while the FL cares about winning / getting what she wants and doesn't care about the consequences and isn't naturally compassionate or particularly open minded - they are similar in the sense that they are driven and relentless and they don't care what others think of them)
  • I Hear Your Voice - The FL starts out jaded and rude while the ML is idealistic, polite and reliable. 
  • I Need Romance 3 - The FL is cold, jaded and a demanding boss while the ML is warm, affectionate, sentimental and thoughtful.
  • Witch's Romance - The FL is a rude, cold, jaded workaholic while the ML is a warm and thoughtful person who left medical school and his career path behind.
  • Crash Landing On You - The FL is only a little bit rude (somewhere between spoiled and entitled on the one hand and rightfully confident on the other hand) while the ML is very polite and considerate of others (although definitely not a pushover). Their opposite personalities work really well together.
  • The Eternal Love 1 and 2 - The FL is loud, brazen and doesn't care about being polite while the ML is usually very serious and measured. The FL brings out his less serious side in many ways (his romantic side, his mischievous side, etc.).
  • Live Up to Your Name - The ML and FL are both very talented doctors, but they are opposites both in their medical practice (the ML is from ancient times and is a master of acupuncture and traditional eastern medicine while the FL is from modern times and is a talented surgeon) and their personalities (when he isn't in doctor mode, the ML is goofy while the FL is often prickly). 
  • Hotel del Luna - The FL is a powerful and practically immortal being who has become spoiled, materialistic, and selfish while the ML is a kind, caring and polite person (and a human with no special powers). 
  • Across the Ocean to See You - The FL is a domineering and demanding boss and person. She's a bit self-centred and isn't particularly thoughtful towards others. The ML is the type of person to look after others. Although the ML sticks to his principles in his work even when it hurts his chances of being promoted (so he's not a weak willed person), when it comes to the FL he is very deferential. 
  • The Greatest Deliveryman - In order to succeed in a rough, sexist and male-dominated industry, the FL developed a strong / tough, rude / prickly and self-serving personality. The ML is exceptionally kind and considerate and always looks out for others.

The ML and FL aren't really opposites, but You Drive Me Crazy was similar to Individualist Ms Ji Young in other ways.

I have no recs for you, but I personally disagree with Crash Landing on You being on this list. The female lead had a few moments (and I mean very few moments) when she had to put up a front of toughness against certain people, but in general she's not a rude or prickly person, like ... at all. Her personality for those who take the time to get to know her (and not try to use her for her money)  is closer to being extroverted than introverted. She's kind and bubbly in that spoiled rich girl kind of way. Definitely wouldn't classify her as an 'introvert'. Between her and the ML, I'd say he was way more introverted than her. He's the one who sits quietly, listens and observes when everyone else, including the FL, is being chatty & rambunctious. That's exactly why he fell in love with her in the first place because she kind of draws him out of his shelf and is very sweet to everybody.

 PrettyCarEye:

I have no recs for you, but I personally disagree with Crash Landing on You being on this list. The female lead had a few moments (and I mean very few moments) when she had to put up a front of toughness against certain people, but in general she's not a rude or prickly person, like ... at all. Her personality for those who take the time to get to know her (and not try to use her for her money)  is closer to being extroverted than introverted. She's kind and bubbly in that spoiled rich girl kind of way. Definitely wouldn't classify her as an 'introvert'. Between her and the ML, I'd say he was way more introverted than her. He's the one who sits quietly, listens and observes when everyone else, including the FL, is being chatty & rambunctious. That's exactly why he fell in love with her in the first place because she kind of draws him out of his shelf and is very sweet to everybody.

I would point out that I noted the FL in CLOY "is only a little bit rude (somewhere between spoiled and entitled on the one hand and rightfully confident on the other hand)" and did not call her an introvert. I would also point out that the story very intentionally shows that she has bravado, is emotionally isolated, and is a demanding boss / person, at least in the beginning, but 1) much of this (as you mentioned) is a "front of toughness" and 2) her personality softens when she is surrounded by genuine friends / found family. The narrative underscores the contrast with things like her being demanding / picky with her taste in food in South Korea vs. not being picky at all in North Korea, her approach towards Christmas (making her employees work through it vs. decorating and buying presents), etc. 

I agree that the ML in CLOY is an introvert but would say that the ML and FL are both loners in their own way before they meet each other, and that their personalities are opposite (but compatible) in other ways. That's the main reason I think it's worth including on this list. Ranisha Dutta asked for a ML and FL with contrasting personalities, and I love the dynamic in CLOY. The different but compatible personalities + similar core values is a very satisfying dynamic. And they  were each exactly what the other person needed and brought out the best in each other (a bit like the dynamic in Individualist Ms Ji Young). 

I can go into detail about how they're personalities are different if you or Ranisha Dutta want to talk about that, but this reply is already long so I won't expand on that point here.