With infinite decks it makes sense to add new hands. This type of poker requires a computer to play (or can be simulated, badly, by just mixing a couple hundred decks together)
There are more possibilities for pair-based hands, so those should be devalued a little. Traditional poker hand valuations are in straight order of rarity, plus card value in case of ties.
In this variant, flushes are now easier to make, so they are weaker than straights.
There are also a lot more sub-variants of pair hands.
It's also possible for people to have exactly the same hand as eachother.
5 identical cards.
The worst five of a kind has one internal twin. More twins/triplets/quadruplets increase in value. The best of them is the above quintuplets.
A triplet and a twin of the same suit.
As As As Ks Ks.
A triplet and a twin, not same suit.
As As As Kc Kc
4 exact same card.
As As As As
No internal pairs
As Ac Ad Ah
Better than this would be
As As Ad Ah (1 internal twin), and increasing value as there are more internal identical cards.
As Ac Ah Kh Kd. Better would be internal twins.
High card wins. Internal pairs don't matter.
Ax Ax Ax
Ax Ax Ay - with one internal twin.
Ax Ay Az - all different suits.
As As Jc Jc x
Two pairs, with one identical
As As Kc Kd
A A K K x
Two identical Cards