Dance till Tomorrow (1991)
Dance till Tomorrow is a manga series by Naoki Yamamoto that has also been adapted into two live action movies. A two-episode OAV was also released on VHS in Japan. It is a romantic comedy which details the life of Suekichi, a student who will inherit a fortune when he graduates from college and gets married with unexpected complications from a mysterious girl, Aya Hibino. The first five and a half volumes were published in the now-defunct adult manga magazine Pulp, and the rest were released afterward under Viz's Editor's Choice line.
More at Wikipedia.