The address 150 picadilly is occupied by the London Ritz Casino.
Gala Tottenham Court Road has been renovated and now known as St Giles Casino (a Grosvenor casino)

From what I can gather "Sporting Club" was a pretty common title for a gambling venue.
The Victoria casino was known as the Victoria sporting club but as far as I know The Sportsman near Marble Arch is the only London casino I know of with 'sport' in the title today.