My mom watched soaps with Liza in a Red Carpet Club in the early 80s. My mom taught me to always play it cool around celebrities, so she just sat back with Liza and watched TV. Liza asked her what characters were up to (I imagine she didn't get to watch soaps too much with her schedule), and they just had a nice human chat. I am sure both parties appreciated that - so much better than just getting an autograph!
It's always been a local legend, but I have confirmed that while performing in Des Moines, Iowa, the local theatre company was performing Evita. Liza was also being courted at the time by Ken Russell (or Oliver Stone) for the film. She hadn't actually seen the show (or needed a reminder, depending on who you talk to), so she requested the theatre perform it at a special midnight showing where she was basically the only one in the house. Can you imagine performing for an audience of one - and it's Liza Minnelli at her peak!?!? I so wish I had been there myself.