I'm not sure which anime you're referring to because it's not very common for the female lead to lie to people and the male lead to like dogs. If you can provide more background information or description, I will try my best to provide you with a more accurate answer.
We don't have enough information to know exactly who Karen is. She could be an ordinary person, a student, a teacher, or just someone who likes to read stories.
In 'Karen Eiffel Stranger than Fiction', Karen Eiffel is a key character. She is a writer, and her actions and the story she is writing are central to the plot. Her role creates a unique situation where the fictional world she is creating intersects with the real life of the other main character in a very strange and unexpected way.
Given only 'dateline karen read story', Karen's identity remains a mystery. She might be a staff member at Dateline who was reading a story for work purposes. Or she could be a person who was interviewed by Dateline and was reading a story during the interview, or she could be an ordinary person whose story - reading experience is being highlighted in relation to Dateline.
The story behind Karen could involve a journey of self-discovery, facing obstacles and emerging stronger. Or it might be about her pursuing a passion and overcoming setbacks along the way.
There were many animes where the male protagonist was more pretentious, such as Naruto, One Piece, Reaper, Silver Soul, and so on. The male leads in these animes all had powerful strength and often showed a very arrogant look, giving people the feeling that they liked to show off. However, they also had their own unique personalities and storylines that were worth watching.
There were many anime works where the male lead liked the female lead but the female lead liked someone else. For example, the following works:
1. Steins;Gate
"Even a chuunibyou needs to fall in love!" (Innocent Blue)
Your Name (3)
Your Lie in April
5."Ways to Cultivate Passerby Female Lead"(Ways to Cultivate Passerby Female Lead)
The plots of these works were a little complicated, but the relationship lines of the male and female leads were not very clear. Sometimes, they would attract each other, and sometimes, they would separate for various reasons. However, these works all had good plots and characters that were worth watching.