We review our recent research results on near-eye computer generated hologram (CGH) display systems based on holographic waveguide combiners. Usually, the holographic waveguide combiner induces astigmatism even with a pair of symmetry holographic optical elements (HOEs) for light in-coupling and out-coupling. A new CGH algorithm has been successfully proposed to correct the induced aberration. The field of view (FOV) of CGH is also usually limited...