An implement system is disclosed for use with a machine having an engine. The implement system may have a pump driven by the engine, a first actuator configured to receive pressurized fluid from the pump during operation of the engine, and at least a second actuator configure to receive pressurized fluid from the pump during operation of the engine. The implement system may also have an accumulator configured to receive pressurized fluid from the first actuator during operation of the engine, and to discharge fluid to the first actuator and to the at least a second actuator when the engine is shut down.