Chui was known for films such as The Rebellious Reign, Kung Fu Vs. Yoga, Two Fists Against the Law and 7 Grandmasters as well as other various Hong Kong and Taiwanese television shows.
Chui also worked in various independent movie studios and as minor roles in several Shaw Brothers productions, mostly under Chor Yuen's direction and would frequently appear as a supporting actor or extra until 1978.
Later around 1979 and 1980, Chui became known for roles such as 7 Grandmasters (1978), Kung Fu Vs. Yoga (1979) and Two Fists Against the Law (1980), as well as being an action director for the first time in the movies such as Shaolin Ex Monk in 1978[2] and John Woo's Last Hurrah for Chivalry (1978).
Alan would also frequently be seen in Taiwanese productions through the later 1970s to early 1980s, such as Born Invincible (1978), Revenge of the Shaolin Master (1979), Zen Kwan Do Strikes Paris (1981), The Denouncement of Chu Liu Hsiang (1982) and others.
The second collaboration with Tung was A Chinese Ghost Story in 1987, mainly supervising the wiring action sequence and the stunt double for the early Leslie Cheung.
Alan would later help Wilson Yip for the choreography for the same wiring stunt sequence technique on the 2011 remake of A Chinese Ghost Story.