Distortion is not a consequence of the degree of zoom, it is an artifact created by the lens. There are endless ways in which lenses can project an image with all manner of different kinds of distortion. The most commonly used lens formulae either try to correct distortion - rectilinear projection - or allow a lot of curvature - fisheye projection. Because of the physics of optics, the most wide-angle lenses, 6mm or 8mm on standard 35mm bodies, are always fisheye. Longer lenses - certainly 50mm and above - are always rectilinear and there are some good 20mm rectilinears.
I believe the closest focal length to the human eye is actually about 43mm on a 35mm frame.
However, the "standard" focal length to match human vision depends on the size of the medium the image is projected onto. So for 6x6cm medium format film, 80mm is the norm, for 6x9cm 105mm is used, for 5x4inch film you are looking at something around 150mm. What matters is not the focal length but the angle of the field of view, which is something like 120 degrees for the human eye (you can easily google it).