The stress concentration factor is one of the most significant factors in design engineering in the modern era with lots of objectives across the world. Stress concentration is the localization of high stresses primarily due to discontinuities within the time, abrupt changes in cross-section, and contact with stresses. This paper focuses on a problem with different discontinuities as specially holes present in a plate like isotropic, anisotropic and orthotropic etc. The different methods used by various authors to evaluate stress concentration with different related parameters, and describe the study related to the results carried out by them. Finite plate with polygonal, circular, inclined circular, and elliptical types holes has been considered one of the most important design applications in the present era. In the present work, the analysis and reviews are based on the following (a) types of discontinuities, (b) types of loading, (c) material/Composites/Plies (d) orientation of discontinuities in a finite plate. Finally, the scope of this research work is incorporated.