Random or non random.
Random is effectively a roll of some number.
The types of contests are under or over.
The types of dice are effectively infinite, but let's say 2-100, with a small caveat of 1000.
And the types of USING dice are either pooling or "single" dice, potentially with a static modifier.
non random includes static numbers (my 5 always beats a difficulty 4), payment of some kind (I've used 4 of my action points, I have 6 left), real life contests (such as rock paper scissors, trivia, etc), or strict narrative consequence.