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. <EOS>