I didn’t understand the question earlier, but the trophy case for baseball has a flags fly forever energy to it and only shows titles, not 2nd or 3rd place. During the off-season the standings will show silver and bronze trophies, but those will go away once the next regular season begins.
Here is a wishlist item that may be relevant to your interests:
I should note that in football and basketball, there are silver and bronze trophies in the trophy case.