We analyze and experimentally realize coplanar imaging of transverse-electric (TE) modes surface waves using weakly anisotropic metasurface consisting of non-periodic subwavelength U-shaped metallic structures. Such metallic structures with the exciting coplanar dipole are integrated on the top surface of a thin dielectric board. A circuit model is utilized to analyze the characteristics of the surface waves supported by the metasurface. By varying the geometrical parameters of the U-shaped metallic structures, the phases of surface waves are modulated, from which a planar lens is presented for the TE-mode coplanar imaging. The analyses and measurements show that anisotropies of the U-shaped metallic structures have little influence on the imaging properties of the planar lens. The measurement results have good agreements to numerical simulations.