With the speedy development of hardware (e.g., high performance computing, smaller and cheaper sensors) and software (e.g., deep learning techniques and interaction technologies), robotic products and IoT devices have gradually become accessible to household users. Typical application scenarios of domestic robots include: 1) Providing physical assistance such as floor vacuuming; 2) Providing social assistance to answer questions; and 3) Providing education and cognitive assistance such as offering partnerships. In this paper, we provide a brief overview of available domestic robots, particularly focusing on the services they provide and corresponding computational techniques incorporated in these services. We first provide an overview of available commercial domestic robots and state- of-the-art computational intelligence techniques, then discuss the gap between current robotic systems and advanced computational techniques. Finally, we analyze what are the next developmental stages for these techniques with the emergence and development of the domestic robotic platforms.