Here's a schedule of performance times so you can plan your weekend.
The nominations for the most prestigious awards in the UK theatre calendar have been revealed today.
The websites drew complaints that advertised prices were misleading
Society of LondonTheatre president Mark Rubinstein said:
"I am delighted that for the ninth year running we are able to report year-on-year growth in ticket income for London Theatres.
"It is particularly astonishing that we are able to report increasing sales - of over half a billion pounds - for a year that we always knew would have exceptional challenges.
"Against the background of a tough economic climate, London theatre continues to buck the trend, offering dazzling, world-class entertainment, which has audiences from both home and abroad flocking to the West End to catch exciting new productions as well as much-loved long running favourites."
London's theatres enjoyed an increase in box office takings last year, despite fears that the Olympics would hit business.
Andrew Lloyd Webber had predicted that the Games would create a "bloodbath of a summer" in the capital's theatreland - but audience numbers for 2012 were actually up slightly on the previous year.
According to the Society of London Theatre, box offices sales set a new record at almost £530 million - up 0.27% on 2011 - and attendances increased by 0.56% to nearly 14 million. Although audiences for musicals dropped by 2%, that was made up for by an increase in those attending plays.
The Society said that the Olympics did have some impact, with venues closing on the night of the opening ceremony and fewer performances being staged in August. However, more tickets were sold for the first week of the Games than during the 2011 Royal Wedding week.
New productions such as Top Hat, Sweeney Todd and The Bodyguard, have been credited with helping to boost sales, along with ongoing hits like One Man, Two Guvnors and Matilda The Musical.
Twenty years ago, "The Bodyguard" took hundreds of millions of pounds worldwide and created what was then the best-selling soundtrack of all time.
It also had film-goers weeping bucket-loads for the doomed love story of Whitney Houston and Kevin Costner.
So, the West End stage version has a lot to live up to when it opens tomorrow - as our Entertainment Correspondent Lucrezia Millarini reports.
Rupert Everett will return to the West End next year, when "The Judas Kiss" transfers to the Duke of York's Theatre on St Martin's Lane. It's currently showing at the Hampstead Theatre.
Everett stars as Oscar Wilde in the production, which examine's the writer's relationship with his lover.
The actor, who has appeared in films like "My Best Friends Wedding" and "Shakespeare in Love" first appeared on the West End stage in the 1980s.
Former Eastenders actress Michelle Ryan has been talking to London Tonight about the challenges of taking on her first lead role in the West End.
She's playing the part of Sally Bowles in the musical Cabaret at the Savoy Theatre and says she's finding it much more physically demanding than her work in film or television.
She said: "You really have to take care of yourself, I'm covered in bruises, literally covered. You're like an athlete in some ways....I've never been in better shape physically."
Watch Michelle's full interview with Piers Hopkirk below.
Michelle Ryan has told London Tonight how excited she is to be making her West End debut at the Savoy Theatre.
The Enfield-born actress, who first appeared on TV screens as Zoe Slater in Eastenders, is taking on the lead role in the musical Cabaret - a part made famous by Liza Minnelli in the 1972 film.
She said it was amazing to be treading the boards in London, after a four week tour around the rest of the country:
"Being out of town, everyone was so kind, but it made me realise how much I love London and it does feel like something special," she said.
"I used to go and watch all of the musicals and I appeared in a couple of gala performances when I was 14 at the Palladium and Her Majesty's Theatre, but to be opening at the Savoy in London - which is my home town - that's really amazing."
Stars of West End's biggest shows are set to perform at the world's biggest free theatre event in Trafalgar Square this weekend.
There are live performances of Billy Elliot The Musical, Chicago, Wicked, We Will Rock You, The Wizard Of Oz and Shrek.