A wipes dispenser comprising: (a) a container comprising: a container body and a removable lid forming an interior region containing a plurality of wipes that are interconnected such that pulling on a lead end of a lead wipe of said plurality of wipes causes a following wipe of said plurality of wipes to also be pulled and follow said lead wipe; (b) a container aperture having a radius corresponding to a circle C 1, defined through an exterior wall of said container with the container aperture residing in a substantially horizontal base plane; (c) a rigid landing member is part of said lid, the rigid landing member covering a portion of said container aperture by extending downwardly from a top rim of said container body toward the middle of the interior region of said container creating a concave portion of the landing member; wherein said landing member comprises one or more fingers; (d) a gripping channel in a concave portion of said landing member communicating with the interior of the container through said container aperture, and wherein said plurality of wipes are removed from said container by being pulled through said gripping channel, said gripping channel separating a lead wipe from a following wipe as said lead wipe is pulled through a central aperture in said gripping channel; (e) a secondary aperture through said landing member wherein the secondary aperture includes a portion opposite the gripping channel, wherein the portion has a radius corresponding to a circle C 2 and said circle C 2 has a radius that is about 50% to 95% of the radius of said circle C 1; and wherein said one or more fingers extends no more than about 75% of the distance from the edge of circle C 2 towards a longitudinal axis A through the middle of the interior region of the container. (a) a container comprising: a container body and a removable lid forming an interior region containing a plurality of wipes that are interconnected such that pulling on a lead end of a lead wipe of said plurality of wipes causes a following wipe of said plurality of wipes to also be pulled and follow said lead wipe; (b) a container aperture having a radius corresponding to a circle C 1, defined through an exterior wall of said container with the container aperture residing in a substantially horizontal base plane; (c) a rigid landing member is part of said lid, the rigid landing member covering a portion of said container aperture by extending downwardly from a top rim of said container body toward the middle of the interior region of said container creating a concave portion of the landing member; wherein said landing member comprises one or more fingers; (d) a gripping channel in a concave portion of said landing member communicating with the interior of the container through said container aperture, and wherein said plurality of wipes are removed from said container by being pulled through said gripping channel, said gripping channel separating a lead wipe from a following wipe as said lead wipe is pulled through a central aperture in said gripping channel; (e) a secondary aperture through said landing member wherein the secondary aperture includes a portion opposite the gripping channel, wherein the portion has a radius corresponding to a circle C 2 and said circle C 2 has a radius that is about 50% to 95% of the radius of said circle C 1; and wherein said one or more fingers extends no more than about 75% of the distance from the edge of circle C 2 towards a longitudinal axis A through the middle of the interior region of the container.