I wanted to know more about the different methods for comparing the similarities of two probability distributions P and Q.

I wanted a list of the different methods that exist for comparing probability distributions.

For example, the two that I am aware that exist are:

1. KL-Divergence
2. EMD (earths mover's distance)

I was wondering if people knew about more different measures and if they could provide maybe a good reference for learning about it. Also, on top of providing the distance measure that you are suggesting, if you could provide a brief intuition on it before I research it more, it could be very helpful!