A very popular drama is Boys Over Flowers, which gave a great contribution to the hallyu wave as it rose to fame. In this drama, the good-looking flower boys are the center of attention, as a high school girl falls in love with one of the members of the F4 gang, which is a group of high schoolers who are the heirs to big enterprises. Another hit drama is The Moon Embracing the Sun, in which a very popular korean actor, Kim So Hyun, starred. This is a historical drama, it takes place in the Joseon Era, and is a passionate love story between the king of this era and a female shaman who lost her memories. As you can see, dramas are very entertaining. If you think the problem is the language, dont worry, dramas come out with english subs on youtube, and also on webpages like dramafever and viki. K-pop idols also star in some dramas, as many of them are also interested on acting, and many k-pop songs are promoted through dramas.
To The Beautiful You (drama in which my favorite k-pop idol stars)
Some other very popular korean actors include Lee Min Ho, Park Shin Hye, Lee Seung Gi, Jang Geun Seuk, Han Hyo Joo, Suzy, Yoon Shi Yoon, Song Ji Hyo, etc. All of whom are very talented. Many products are also promoted through dramas, you can see the samsung cellphones, brands of food, makeup, and also many interesting places of South Korea are shown. There are dramas in which fantasy is implemented, there are love stories between humans and fantastic creatures, like the famous korean gumiho (nine-tailed fox, a magical fox with "nine tails").
I really reccomend watching korean dramas, you can have a good time watching them, and my "korean obssesion" started with them.