The accelerated interest in Electric Vehicles (EVs) has brought substantial changes to both transportation and energy infrastructures. Therefore, there is an imperative need to explore unified models to address both logistics and power grid operations simultaneously. For this reason, this research reviews current studies on integrated energy-logistics models designed to facilitate the grid integration of EVs, focusing on EV routing, EV charging infrastructure, and the electricity market. The literature mainly addresses these aspects by analyzing the effectiveness, limitations, and challenges that constrain real-time applicability. Several modeling deficiencies are identified, such as poor scalability, inability to address uncertainty effectively, lack of multi-level cooperation between EV fleet operators and grid stakeholders and lack of utilizing data-driven and hybrid optimization techniques. In particular, many models fail to capture temporal-spatial relationships in EV routing decisions and the uncertainty in EV charging demand, renewable power supply, and power system constraints. Thus, this review provides a research agenda for developing co-optimization approaches with real-time decision-making and renewable power forecasting capabilities to facilitate the scalable adoption of integrated energy-logistics models for EV grid integration and EV fleet operations.