Yes, any conflict where the aim is not to "destroy, in whole or in part, a national, ethnical, racial or religious group".

Feel free to actually list a couple so we can dive into the specifics.

Feel free to do any of the work yourself also; This is a claim you are making isn't it?

Ok, here is a list of armed conflicts: https://en.wikipedia.org/wiki/List_of_ongoing_armed_conflict... Some are conflicted as being power struggles between groups of certain ethnicities; not all involve ethnic cleansing.

Here's one: https://en.wikipedia.org/wiki/Mexican_drug_war that seems not to have any relation to genocide.