This study aims to analyse previous studies on Six Sigma, lean, Lean Six Sigma, and lean accounting as four main quality improvement practices and management frameworks of a lean organisation. This paper builds on past literature by undertaking a quantitative analysis of four business quality improvement practices in business. This study also reveals research gaps and areas of interest for future research agendas in a more comprehensive lean framework. A literature study was undertaken to gather data and information from academic journal articles. Despite a relatively large number of research findings on Six Sigma, lean, Lean Six Sigma, and lean accounting, this study discovered that they are limited to a few sectors namely, healthcare, manufacturing, and automotive industry or sector, and critical success factors as main focus have been addressed mainly by Lean Six Sigma studies. It was also shown that there is still a significant discrepancy among researchers in writing these business improvement practices, and it is noted that implementing lean accounting is a radical change to an organisation's accounting, control and measurement system.