Her recent dramas are Producer and Jealousy Incarnate, but she might be most famous for her role in Pasta, Master's Sun, and The Greatest Love. Those are old dramas, other than Master's Sun. She's not like at the level of, let's say, Ha Ji Won, Kim Tae Hee, Park Shin Hye, Song Hye Kyo, but she's considered one of the best for romantic-gomedy genre.
Most Korean actresses belongs to two categories, either innocent {ex. Song Hye-kyo) or sexy (ex. Kim Hye-soo). although nowadays many of actresses combine both categories to herself, but Gong Hyo-jin belongs into the third, very minor groups of eccentric actresses.