I can't tell what you mean, exactly- clearly, if water freezes and the ice is kept below 0 C, the phase change is irreversible. I wonder if you mean something more like a chemical reaction- when concrete sets for example, it will never revert back to it's dehydrated form... I don't know if it can be ground up and somehow processed back to the way it was.
Often 'irreversible' and 'equilibrium' must include the qualifier- 'how long do you want to wait'?