Recently, multi-responsive actuators have attracted great attention, and it remains challenging to develop flexible and durable actuators with controllable motions on water surface. Here, a facile spray-coating method is proposed to fabricate superhydrophobic and multi-responsive acidified carbon nanotubes /Fe3O4/octadecylamine/polydimethylsiloxane (CFOP) coatings. The CFOP coating imparts the paper composite (CFOP@paper) with superhydrophobicity, self-cleaning performance, excellent photothermal conversion and magnetic properties. In addition, the strong interfacial adhesion between the coating and the paper ensures the surface stability and durability during cyclic bending and abrasion tests. The CFOP@paper can achieve controllable light-driven motion based on the Marangoni effect. The CFOP coating is also used for preparation of the superhydrophobic/superoleophilic sponge composite, and the controllable and fast motions of the sponge composite are realized by a contactless magnetic field, which can be used for high efficiency adsorption of oil on water surface. The multi-responsive coating exhibits promising applications in the field of flexible electronics, smart actuators, environmental protection, and so on.