The National Theatre has cancelled its performance of Wuthering Heights as Storm Eunice brings disruption to the live sector.
Shows by comedian Joe Lycett and immersive production company Secret Cinema planned for Friday night have also been scrapped at short notice.
It comes as swathes of the population have been urged to stay at home due to safety fears over the impact of Eunice, one of the worst storms to hit the UK in a generation.
The National Theatre on London's South Bank said it was "sorry to announce" its stage adaptation of the 1847 novel by Emily Bronte would not take place on Friday.
"We're so sorry for the inconvenience and plan to resume performances on 19 Feb," the theatre tweeted.
Stand-up comic and presenter Lycett said he was "trapped in London" and unable to travel to Birmingham for his show at the Midlands Arts Centre.
He added on Twitter: "The new date is 1st March and they should be in touch with ticket holders soon. Stay safe everyone!"
Secret Cinema said it had cancelled its Bridgerton-inspired show, which had been due to take place at a "stunning indoor ballroom in Wembley" on Friday night.
"Due to severe weather conditions and following the Government advice to stay at home, we have to cancel tonight's show of #secretbridgertonball to ensure the safety of our customers and staff," a statement said.
The PA news agency understands that the Warner Bros production of Wonka, starring Timothee Chalamet, is still shooting in Oxford although the situation is being monitored closely.
Theatre workers union Bectu called for film and TV productions to ensure the safety of their staff while poor weather conditions continued.
A statement said: "With the onset of Storm Eunice, productions should be taking account of the 'risk to life' warnings in some parts of the country.
"Health and safety at work is paramount and should always be a priority, and production companies should not expect workers to shoot on location in such treacherous circumstances."
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