The antonyms for the word "most stoppered" can be described as free, flowing, open, unobstructed, and unrestricted. When something is "most stoppered," it is blocked or sealed tightly, preventing any movement or flow. In contrast, when something is open, it allows for movement or flow, and is not restricted or blocked in any way. For instance, a blocked drain can be described as "most stoppered," while a flowing stream can be described as open and unobstructed. Therefore, the antonyms for "most stoppered" are words that describe the opposite of obstruction or blockage, and instead, connote freedom, motion, and fluidity.