Despite the daily need for people to travel on public transit buses using their wheeled mobility devices, relatively little information is available regarding the most efficacious, affordable, and independent approaches to assist passengers with keeping their mobility devices in the designated wheelchair access space. A systematic review was undertaken to summarize this literature, place it within a geographical and temporal context, appraise its quality, and establish common themes. Key academic and grey literature transportation databases and government websites searched from 1990 to May 2022 identified 33 documents, which were appraised using the Mixed Methods Appraisal Tool (MMAT) or the Authority, Accuracy, Coverage, Objectivity, Date, Significance (AACODS) tool. Overall, the documents included were of good quality. The literature retrieved focused on the development and testing of the active containment systems favored for use in North America with a contrastingly small examination of the effectiveness of passive or semi-passive containment systems. Almost no literature was retrieved in English from European researchers documenting the use or effectiveness of rearward-facing passive systems. While tip or slide events are relatively rare among mobility device users, the effective use of containment systems is vital to minimize these. Further research is required to support transport policy makers, operators, and bus drivers to identify and correctly implement optimal containment systems to promote safety for all passengers on public buses.