A container of stacked moist wipes includes a dispenser housing. The housing defines top and bottom walls, first and second side walls, and first and second end walls. The walls collectively define an interior space, and the first end wall can be removed to provide access to the interior space via a refill orifice. The top wall includes a dispensing orifice through which wipes are extracted. A refill direction is generally perpendicular to a dispensing direction. In particular embodiments, the dispensing orifice is covered by a lid assembly. In certain embodiment, the first end wall includes a removable cap that has no permanent connection to the top wall, bottom wall, first side wall, or second side wall. In certain embodiments, the top wall, the bottom wall, the first side wall, the second side wall, and a permanent layer of the second end wall are integrally molded with each other.