This review presents a comprehensive overview of three-dimensional quantum black holes, focusing on their construction, thermodynamics, and applications within the framework of braneworld holography. The study explores how quantum corrections to gravity, arising from the backreaction of a large-c quantum field theory, can lead to the emergence of black holes in three-dimensional spacetime, even in the absence of classical black hole solutions. These quantum black holes are exact solutions to an induced higher-derivative theory of gravity, consistently coupled to a large-c quantum field theory with an ultraviolet cutoff, accounting for all orders of semi-classical backreaction. Notably, such quantum-corrected black holes are much larger than the Planck length. The paper describes the geometry and horizon thermodynamics of various asymptotically (anti-) de Sitter and flat quantum black holes, including static, rotating, and charged quantum BTZ black holes, as well as quantum de Sitter and flat space black holes. It also surveys multiple applications of quantum black holes and braneworld holography, highlighting their role in studying semi-classical horizon thermodynamics, holographic entanglement entropy, and the prospect of probing black hole singularities. The review emphasizes the importance of braneworld holography in providing a framework to exactly study the problem of backreaction without explicitly solving semi-classical field equations. It also discusses the implications of quantum corrections for black hole thermodynamics, including the generalized entropy and the semi-classical generalization of the reverse isoperimetric inequality. The paper concludes with a discussion of higher-dimensional extensions and future research directions in the context of quantum black holes and braneworld holography.This review presents a comprehensive overview of three-dimensional quantum black holes, focusing on their construction, thermodynamics, and applications within the framework of braneworld holography. The study explores how quantum corrections to gravity, arising from the backreaction of a large-c quantum field theory, can lead to the emergence of black holes in three-dimensional spacetime, even in the absence of classical black hole solutions. These quantum black holes are exact solutions to an induced higher-derivative theory of gravity, consistently coupled to a large-c quantum field theory with an ultraviolet cutoff, accounting for all orders of semi-classical backreaction. Notably, such quantum-corrected black holes are much larger than the Planck length. The paper describes the geometry and horizon thermodynamics of various asymptotically (anti-) de Sitter and flat quantum black holes, including static, rotating, and charged quantum BTZ black holes, as well as quantum de Sitter and flat space black holes. It also surveys multiple applications of quantum black holes and braneworld holography, highlighting their role in studying semi-classical horizon thermodynamics, holographic entanglement entropy, and the prospect of probing black hole singularities. The review emphasizes the importance of braneworld holography in providing a framework to exactly study the problem of backreaction without explicitly solving semi-classical field equations. It also discusses the implications of quantum corrections for black hole thermodynamics, including the generalized entropy and the semi-classical generalization of the reverse isoperimetric inequality. The paper concludes with a discussion of higher-dimensional extensions and future research directions in the context of quantum black holes and braneworld holography.