This work chews over exotic systems embedded in a non-ideal classical plasma (NICP) under impenetrable spherical confinement, including μH\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mu \\hbox {H}$$\\end{document}, (μHe)+\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$(\\mu \\hbox {He})^{+}$$\\end{document}, and (μLi)++\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$(\\mu \\hbox {Li})^{++}$$\\end{document} systems within a nonrelativistic formalism. The photoionization processes of exotic atomic systems are thoroughly analyzed for different values of the NICP’s plasma screening parameter, hence plasma temperature and density, and the radius of spherical confinement. In each case, the energy levels of exotic systems are shown and interpreted in terms of their characteristics. The heavy nature of the muon significantly influences the entire process. Additionally, observable outcomes of different attraction effects originating from the nucleus in muonic systems on both the spectrum and photoionization are identified. The short lifetimes of relevant exotic systems due to the muon and the high bound state energies resulting from the strong attraction energy of the muon significantly inconvenience the photoionization process. However, these disadvantages can be overcome thanks to NICP and spherical confinement, thereby facilitating experimental applications. Important findings regarding these facilitation processes are presented in the present work.Graphical abstract