I second Guys and Dolls at the Bridget Theatre. I’m not a huge musical fan but loved this immersive production. We saw the original cast in 2022. I’d recommend checking out what’s on at the Almeida Theatre, Donmar Warehouse and National Theatre. MoreMilesPlease is making me feel old. I was living in London when I saw Starlight Express on its first run. Enjoy your trip!