Sister Act had a wonderfully staged chase scene. Come to think of it, that whole show was very well-staged by Zaks. He didn’t get enough credit for that one.
It's hard to beat the hilarious ''On a Sunday by the Sea'' chase sequence from ''High Button Shoes,'' which was re-created in ''Jerome Robbins' Broadway.'' Below is a highlights reel from the Muny's recent revival, and you can see a snippet of it (from 2:31-2:58 ), with bathing beauties, Keystone Kops and a gorilla!
A Funny Think Happened on the Way to the Forum is one of the most skillfull I've ever scene with opening and closing doors and windows. At least it was in the last revival in 96
I was just A Funny Thing Happened on the Way to the Forum and the chase scene is HILARIOUS! It's about 20 minutes of chasing and it's so funny. One of my favorite parts is Senex flirting with who he thinks is Philia, but its actually Hysterium!