Try your hand at a Victorian morality game such as 'The Cottage of Content: The Right Roads and the Wrong Ways', or 'The Mansion of Happiness' whose instructions include the warning "Whoever becomes a Liar, Swearer and Sabbath Breaker must be taken to the Whipping Post and Whipt".
On less prudish/erotic ground, you can also try a cycling game from 1900 based on Snakes & Ladders, or a commercial tie-in for the Golden Jubilee of George III. Early versions of draughts and chess plus the ancient Indian game of Pachesi, now better known as Ludo, are also available to play.
You'll find the games on Exhibition Road between now and 5 August. It's free to take part.