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Elite four rematches. Any game without them is lackluster. A perfect pkmn game has: maingame, elite four, some post game (level up your team by 10 levels, give or take) then a final elite four rematch with different teams. That should be fucking standard, even frlg did it.
Another thing gym leader rematches. (Not in a battle facility.) Another thing that hgss did best. Sinnoh did this well and emerald had great rematches they were just luck based on when they would be ready.