Recent robotics, AI, and human–robot interaction techniques increasingly improve the capability of social robots. Yet, there seems to be the lack of important capabilities of social robots for their more substantial use. This chapter specifically focus on mobile social robots that would be used for service industry. We introduce some of the technical advancement about the basic social capabilities for mobile social robots, such as how social robots should consider human personal space, approach people, crossing with human pedestrians, and harmonized with crowd of people. Then, we discuss the moral-related issues with social robots, particularly, robot abuse problem. The fact that children treat social robots aggressively and even violently indicates the lack of peer respect for them. Here, we discuss what the future social robots would need to be equipped, and argue for the needs of “moral interaction” capability. Two capabilities, peer respect and peer pressure, are discussed. That is, social robots would need to elicit people to consider them as a kind of moral recipient (peer respect), and elicit people to behave good (peer pressure) in a way similar to “human eyes” would work. We introduce some of recent research works for moral interaction capability. Finally, we discuss the future implications on law and regulations if much more moral interaction capabilities will be equipped for social robots in the future.