On this page you might find some dramas you like:
http://asianwiki.com/Category:Time_Travel_TV-DramasThe next dramas might not be like you wanted them to be, but they are really good time travel dramas as well:
Rooftop prince : it's not someone from the present who travels into Joseon era. But it's the other way round. 4 Guys travel into modern-day seoul:
"Crown Prince Yi Gak finds that he has been transported from the Chosun Dynasty to modern-day Seoul. He meets Hong Se Na, who bears a striking resemblance to his dead wife, and is determined to solve the 300-year-old mystery of her death. With his own resemblance to the CEO’s grandson at the company where Se Na works, Gak assumes the identity of the young man to stay close to her. Can the Crown Prince navigate a modern corporation to find clues to his own time period?"Queen Inhyun's man: It's also the other way around. Some people travel from Joseon era into modern-day seoul. It's also funny and romantic.
"Kim Boong Do is a scholar who had supported the reinstatement of Queen In Hyun when Jang heebin's schemes resulted in her being deposed and replaced as King Sukjong's queen consort. He travels 300 years into the future of modern Seoul and meets Choi Hee Jin, a no-name actress who is expecting a career renaissance through her role as Queen In Hyun in a TV drama."
Sorry if I couldn't help you :S