The structural and magnetic properties of Fe87Pt13 films synthesized by solid-state reactions and Fe87Pt13–Al2O3 composite films fabricated by aluminothermy are investigated. It is shown that the synthesized samples of both types are characterized by the rotational magnetic anisotropy, when the easy magnetization axis in the film plane can be set by a magnetic field. It is established that the value of rotational magnetic anisotropy in the Fe87Pt13–Al2O3 composite films is higher than in the Fe87Pt13 samples by an order of magnitude. The rotational magnetic anisotropy is assumed to be caused by the exchange coupling of the L10–FePt phase with the L12–Fe3Pt phase in the Fe87Pt13 films and magnetic iron oxides in the Fe87Pt13–Al2O3 samples.