Over the last two decades, rubberised concrete has emerged as a promising sustainable solution for structural members that possess the capacity for high energy dissipation, damping potential, and ductility. The literature is replete with some effective confinement techniques to negate the effect of capacity reduction of the columns due to the introduction of rubber particles. These confinement ideas have innovated concrete-filled tubular columns and more recently hybrid double-skin tubular columns with active and passive confinement provided by steel, different types of fibre-reinforced polymers, and triaxial loading. The scope of this paper is limited to a review of the existing literature on confined rubberised concrete columns, a summary of materials incorporated in these columns, and a discussion of their response and failure patterns under axial loads. Literature review reveals that the traditional aggregate replacement with rubber aggregate, section shape, confinement material, confining process, etc. have significant effects on the behaviour of confined rubberised concrete columns. Although existing analytical models provide a close approximation of test results, some new design formulae have been suggested by researchers. Statistical analysis of the results obtained from these prediction models has been carried out and the outcomes were compared. Recommendations for further investigation are also provided.