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
Lucrezia Millarini outlines the runners and riders at this year's Olivier Awards - the most prestigious prizes in British theatre.
The nominations for this year's Olivier Awards have been published today - and leading the field is The Curious Incident Of The Dog In The Night-Time.
The National Theatre production, based on the hit murder mystery novel about a boy with Asperger's syndrome, has been named in eight categories, including Best Actor, New Play, and Director.
The toe-tapping new musical Top Hat follows in second place, with seven nominations, while the West End transfer of Chichester Festival Theatre’s Sweeney Todd is also in close competition with six.
The Olivier Awards are seen as the most prestigious awards in British theatre - and have even been dubbed the "Oscars" of the West End.
The hit Broadway show "The Book of Mormon" opened in London's West End last night.
Stars, including the cast of Downton Abbey and actor Damien Lewis, flocked to the Prince of Wales Theatre.
The no holds barred musical is from the creators of US TV show South Park.
A year after an autistic child had to be treated during the musical Wicked, a scheme has been set up to make it easier for those living with the condition to enjoy the theatre too.
Some shows will now offer what's being called 'relaxed performances'.
Glen Goodman has the story:
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.