Det finns en Madridcard :
Once purchased, the card offers FREE entrance to more than 50 Madrid museums, sights and tours, rides on the Teleferico cable car, complimentary entrance to the Real Madrid museum tour, discounts in restaurants, shops, shows, and many other items completely free of charge.
Det finns ett Attraction Pass / iVenture Card som liknar det från ett privat företag ( mer info )
The Attraction Pass is a smart card that offers activity packages with which you will be able to save up to 40%. You only have to choose your favorite attractions and incorporate them in your card. We offer you a great range of more than 20 attractions such as Madrid City Tour, tours, museums and entertainment.
Det finns också en resepassage för kollektivtrafik