I can't see the OP on my phone (I'll check it later from the PC), but on the subject of sports involving stairs, my friend and I invented two at school that REALLY get you fit.
The first we called the 'Dizzy Stair Game'. You had to race each other down the stairs but there was a catch: one person had to turn 90 degrees clockwise on each step and the other had to turn 90 degrees anticlockwise. Only one foot was allowed to touch each step, and remember it's a race! I nearly broke my neck once playing that
The second we called 'Horizontal Stair Walking'. This was a one person game in which the aim was to climb up or down the stairs with your body as horizontal as possible, and you weren't allowed to touch the top surface of the steps. Using the banisers you had to try to hold your own weight as you climbed up (whilst facing up, this was hard because you needed a lot of strength to pull yourself up) or down (hard because you had to face down).
Then there was the famous 'How many steps can we jump down at once' game, but I think that's a really common game in all schools.
Was this off-topic? Sorry