New Champ Concept: %Gold Variable
The basic concept is using %gold on hand (unspent gold) as a variable (dmg, time, cooldown, etc.) in a new champion's kit. There would need to be a %gold upto a maximum amount, because late game unspent gold can get extreme.
The champion concepts involving the accumulation of gold without spending it could be interesting as well, such as a thief, CEO, merchant, banker, dragon, leprechaun, diplomat, vault keeper, Scrooge McDuck, etc..