This paper provides an extensive review of human-robot collaboration (HRC) in industrial settings, focusing on safety and intuitive user interfaces. The authors highlight the challenges and advancements in HRC, emphasizing the need for safe interaction and user-friendly interfaces to enhance productivity and efficiency. The paper discusses various collaborative robot (cobot) modes, such as Safety-rated Monitored Stop (SMS), Hand Guiding (HG), Speed and Separation Monitoring (SSM), and Power and Force Limiting (PFL). It also reviews safety standards and risk assessment methods, including ISO 10218-1/2 and ISO TS 15066. The paper further explores intuitive programming methods like walk-through programming, programming by demonstration, and multi-modal interfaces, which aim to reduce cognitive load and improve user interaction with robots. The authors conclude by discussing the application areas of HRC in industries such as handling, surface polishing, welding, assembly, and automotive, and the ongoing efforts to address open issues in HRC.This paper provides an extensive review of human-robot collaboration (HRC) in industrial settings, focusing on safety and intuitive user interfaces. The authors highlight the challenges and advancements in HRC, emphasizing the need for safe interaction and user-friendly interfaces to enhance productivity and efficiency. The paper discusses various collaborative robot (cobot) modes, such as Safety-rated Monitored Stop (SMS), Hand Guiding (HG), Speed and Separation Monitoring (SSM), and Power and Force Limiting (PFL). It also reviews safety standards and risk assessment methods, including ISO 10218-1/2 and ISO TS 15066. The paper further explores intuitive programming methods like walk-through programming, programming by demonstration, and multi-modal interfaces, which aim to reduce cognitive load and improve user interaction with robots. The authors conclude by discussing the application areas of HRC in industries such as handling, surface polishing, welding, assembly, and automotive, and the ongoing efforts to address open issues in HRC.