This study aims to propose and obtain rigid foam composites that have features of good sound absorption and electromagnetic shielding effectiveness. Polyether polyol, isocyanate, and distilled water are used to form rigid foams. The hot pressed low-melting-point polyester nonwoven fabrics with an area density of 200 g/m2 are combined with polyester aluminum foil, thereby forming the panels. The cell structure, compression stress, tensile properties, thermal conductivity, sound absorption, and electromagnetic shielding effectiveness of the rigid foam composites are evaluated in order to examine the influence of the amount of water content (0, 0.1, 0.2, 0.3, and 0.4 wt%). The test results show that using 0.1 wt% of water content provides the rigid foam composites with a maximum foam density of 0.16 g/cm3, an average cell size of 0.36 mm, the maximum tensile stress of 2.84 MPa, a good thermal insulation performance, an optimal sound coefficient of 0.92, and an optimal electromagnetic shielding effectiveness of above 40 dB.