Recent progress in metasurface designs fueled by advanced-fabrication techniques has led to the realization of ultrathin, lightweight, and flat lenses (metalenses) with unprecedented functionalities. Due to straightforward fabrication, generally requiring a single-step lithography, and possibility of vertical integration, these planar lenses can potentially replace or complement their conventional refractive and diffractive counterparts leading to further miniaturization of high performance optical devices and systems. Here, we give a brief overview of the evolution of metalenses with an emphasis on the visible and near-infrared spectrum and summarize their important features: diffraction-limited focusing, high quality imaging and multifunctionalities. Future challenges including aberrations’ corrections, as well as current issues and solutions are discussed. We conclude by providing an outlook of this technology platform and by identifying future promising directions.