I do. Barely. But my memory of it has a funny story attached later in life. The answer is the 1990 touring production of Bye, Bye Birdie. I can remember only bits and pieces of it as I was VERY young. Maybe 4, 5 at max. My family had season tickets at the local cultural center when I was younger and it was the first time they took me to a show. The only real MEMORY I have of it was the song "The Telephone Hour" and a distant memory of a staircase in the set pieces. That's about it but I do technically remember it.
The AMUSING story about this though came YEARS later when I was in college. I went to a local school and one of our AD HOC professors was a director in NY so when it came time for our spring trip one year, he pulled some strings and got us a Q and A with the cast of the off Broadway show 'The Glorious Ones.' We went, saw the show, had the Q and A. At the VERY end, as we were getting up to leave, the actors asked us where our school was located. We answered and Marc Kudisch responded, "Oh, I've been there. I played Conrad Birdie in a tour of Bye, Bye Birdie that stopped there." I told him that had I had actually seen that production. "No. That's impossible. You're in college. You would have been a baby." And when I told him I was about 5, his sighed really heavy and just said, "God I'm old."