Paraflinch is basically paralyzing the opponent then use a move with a chance to flinch. Togekiss is probably the most notorious user of this since it has thunder wave, air slash and the serene grace ability
As for comboes, I don't think there are others as once a Pokemon is affected by a status condition, you cannot be affected by another one unless the first status is somehow removed. The reason I think there is no other comboes is because in paraflinching, you have to pray to Arceus that the rng favored you in both the flinch chance from serene grace and the immobilization from the paralysis. If you are affected by a status other than paralysis, the paraflinch chance is basically cut in half
In short, paraflinch is a shortened term for paralysis and flinch and its purpose is to stop the victim from attacking at all