I vaguely remember him doing a second drunken kung fu movie. A lot of stores were selling the video as a jackie Chan movie right after the release of Rumble In The Bronx here in the US but in truth there were only a couple of clips of Jackie from the Drunken Master film, it was really about some other guy and a girl learning kung fu. Anyway his IMDB page lists a Drunken Dragon aka World of Drunken Master film from 1978 and a Dance of the Drunken Mantis aka Drunken Master 2 film from 1979.
Jackie did do another drunken movie, Legend of the Drunken Master aka Drunken MAster 2. Ti Lung plays his dad and Anita Mui plays his stepmother. Jackie plays the same character, except he seems to be stupider.
Jackie is not in Dance of the Drunken Mantis, but it is a continuation of Drunken Master. It has Simon Yuen playing Sam the Seed and it also has that lady with the legs who played Jackie’s aunt in Drunken Master. Yen Shi Kwan plays a teacher character and teaches lead actor Yuen Shun Yi the sickness style.
World of Drunken Master stars Jack Long and Lee I Min, and has a cameo at the start of the movie from Simon Yuen.
Jethro beat me to it with the Dance of the Drunken Mantis. If it is not that movie you may consider:
Snake in the Eagle’s Shadow (I think this was the only other Jackie Chan movie that starred Yuen Shiao Tien). The bad guy was Wang Cheng Li of the Ji Do Kwan Tae Kwon do style.
Other considerations:
Young Master (my guess is that you may be confusing Yeun with Shek Kin, who is in this movie) The bad guy is the amazing Hapkido master Whang In Sik.
Dragon Lord. Also with Whang In Sik.
Question: Who was the bad guy in the movie you are looking for. It would help us find the movie that you are looking for.
Clips from the above movies can be found on youtube.