You will have to look far because I have not seen any coin like that one of the things that attract people to a coin is its volatility that is what gives the potential of profit for it to be traded by market participants. And come to think of it, when the price of a coin does not change for a long time, it is bound to be delisted anytime soon from the exchange sites and when that happen, it is gradually losing its status that might mean the end very soon.