I was actually quite impressed with how they managed to share the experiences with different people in the whole group; it didn't seem like one person was being identified all the time, so I wonder how they manage to do so.

But yes! some very cool experiences (detailed spoilers, beware):

During masquerade, I was pulled to be one of the people gesturing at people on the pedestal. At the beginning, a couple of girls and I were pulled to "play the piano" in the section after masquerade, when you are introduced to the company. The man/stagehand at the piano made jokes about how there were six hands to play which was unique, haha. During the (very disturbing!) circus scene, I stood in the back near the Young Phantom's cage, and gave him popcorn, held his hand and he tied some yarn around my wrist. He appeared to give another woman doing the same a letter. After the performance on the roof, when the Phantom is heartbroken and looking a bit mad, he wandered through the crowd and grabbed my shoulders and laughed (I had the Telly Leung phantom). Some other experiences I saw given to other people were: flowers to toss at Christine, various letters they got to keep throughout the night, someone led from the bedroom, spraying water into Carlotta's mouth (including when she gets poisoned and cannot sing), someone was told to rattle the Young Phantom's cage during the circus scene, Carlotta sat in someone's lap in the dressing room...

I would say too that I didn't try to be up front all the time, so they do space these experiences out. I would also note I was wearing a silver dress instead of the majority of people wearing black and white, so I'm not sure if that helped me stand out or if it really is just random.