As for the influence, Jackie was a huge fan of Sonny Chiba since the late 1960s or early 1970s when Chiba's TV show
Key Hunter (1967-1971) played on TV in Hong Kong. Chiba was responsible for the action choreography and stunts, and played one of the leading roles. Key Hunter also brought Chiba to Bruce's Lee attention, who then contacted to Chiba to collaborate with him. Unfortunately Bruce Lee died before this happened.
See this video about Key Hunter and you will understand why Jackie and Bruce were fans of Chiba!
https://www.youtube.com/watch?v=S6SXggYiYp8
At that time Chiba was mainly an action star and stuntman. He founded his film school Japan Action Club while he was working on Key Hunter to train physically capable action stars like Hiroyuki Sanada and Etsuko Shihomi. He also did great stunt work in movies like
Kamikaze Man (1966), where he did everything from skiing to car chases to boat chases to martial arts to hanging from a plane that is about to take off. He even spent one or two weeks in a hospital in Taiwan after he slipped in a scene where he's hanging on top of a speeding car.
Kamikaze Man trailer:
https://www.youtube.com/watch?v=0LBzPJygiKE
Another great stunt sequence can be seen in
Jail Breakers (1976), which features Chiba hanging from a helicopter very much like Jackie does in Police Story 3 (see
screencaps in my review). Roaring Fire has some action scenes in Hong Kong that may or may not have been an influence to Jackie, but it's not so much about any specific film, but more about inspiration in general.
In the early 1980's Jackie actually travelled to Japan to meet Chiba. There's an unconfirmed rumour that Jackie has a cameo in
Ninja Wars (1982), but no one has ever been able to confirm that.