The incidence of energy poverty in the Global South is identified by the lack of basic access to modern fuels and energy carriers. Impoverished people have traditional biomass and human power as their only sources of energy. This situation of deprivation of basic resources, in which (according to estimates of international agencies) almost one third of the world’s population lives, masks other relevant characteristics of energy poverty. Current assessments of energy poverty in impoverished areas and the mitigation strategies being implemented are derived from the development agenda and, with variations in detail and scope, highlight electricity connections and access to clean cooking fuels as guarantors of progress. However, a comprehensive understanding of energy poverty requires focusing beyond basic access, building on the interactions between the supply of energy sources and carriers, the provision of energy services, and their impact on decent living conditions. To deal with the effects of these interactions on the energy poor, several studies have attempted in the last decade to construct an assessment framework centred on energy services. This work discusses the relevant dimensions in the framework (supply, services, and impact on wellbeing), reviews the multidisciplinary work available in each aspect, presents a range of proposed taxonomies, and discusses the different issues. A detailed framework is proposed for the integrated assessment of the supply of energy carriers and energy equipment, the provision of relevant energy services, and the improvements obtained in living conditions.