Warmog's Armor and The Bloodthirster both have a passive that stacks with minion kills, although Warmog's is less reliant on building stacks all while being permanent.
Warmog's is for tankiness, generally requiring more sustained damage to kill you, and Bloodthirster is for damage/sustain, generally requiring more burst to kill you.
As a result of AP becoming rather stale, due to lack of item options, I feel like a similar item should be created that could be utilized by mages, such as an item that gives decent base stats as well as a scaling stat.
Stats given, in an attempt to make it appealing to either AP or support, could be CDR, mana regen or mana (both not preferred, since that would limit appeal to a large portion of the cast), or AP. Unique mechanics are not welcome, as that would quickly over complicate design.
Again, nothing specific; just bringing up an idea. If you would like to see a similar item made, leave some suggestions and we can try to refine one that Riot feels might enrich gameplay.
If you feel this is a bad idea, and there is no possible mixture of stats that could make a balanced scaling item for supports/AP, please leave your reasoning behind along with your downvote. Nobody likes a father that walks out on his child. You wouldn't want to do that to your little baby downvote now, would you? :c