Optical beamsplitters often consist of repeated pairs of high and low index quarter-wave layers. At oblique angles of incidence, such coatings typically have a fairly high polarization ratio. Reflectance, transmittance, and phase for the two orthogonal planes of polarization, s and p, are different in general. Here, we present the results of the design of all-dielectric beamsplitter coatings with very low polarization ratios. An initial sinusoidal refractive index profile, optimized with a refining computer program, yields a 50±1% beamsplitter in the 450 to 650 nm wavelength range, with less than 0.5% (abs.) difference between the s and p reflectance in most of this interval. Matching the elements of the characteristic matrix of this design with those of a generic homogeneous multilayer stack yields the starting design A(HL)7HS for a reflectance to transmittance ratio of R:T = 50:50% and 30:70% beamsplitters, which are optimized for the 500 to 600 nm wavelength range and angles of incidence of 40°, 50°, and 60° using a computer program based on a damped least squares refining technique. The average deviation from the nominal beamsplitting ratio is less than 0.5% for all given design examples. The maximum deviations are about 2% in this wavelength range.