Compact nonabsorbing reflectors are useful in numerous important applications, such as surface protection against high-power irradiation, low-loss mirrors in laser cavities, and improvement of signal-to-noise ratios in bioimaging and nanosensing. We exploit the Mie resonance in periodically arranged silicon nanospheres to design a wide-angle broadband near-perfect all-dielectric metamaterial reflector. First, we obtain the reflectance of a semi-infinite dilute medium of dielectric spheres arranged in a simple-cubic lattice in air and deduce criteria such as the radius and period required to obtain a near-perfect mirror. Next, we construct a near-perfect broadband mirror using the metasurfaces in the near-infrared wavelength range for the period-to-radius ratio of ∼2.54 for normal incidence. Finally, we study the reflection characteristics of the multilayer nanosphere metamaterials. A near-perfect mirror is designed, which is independent of polarization, and the permitted incident-angle width reaches 40 deg for three layers of metamaterial. This is the first study to address the optimal structure parameters for metasurfaces and the reflection characteristics of multilayer metamaterials. Our findings provide guidelines for the design of photonic devices based on dielectric metamaterials.