Compared to vision, the complementary sense of touch has yet to be broadly integrated into robotic systems that physically interact with the world. An artificial sense of touch is especially useful when vision is limited or unavailable. In this presentation, I will highlight our work on task-driven efforts to endow robots with tactile perception capabilities for human-robot interaction, remote work in harsh environments, and the manipulation of deformable objects. Real-time tactile perception and decision-making capabilities could be used to advance semi-autonomous robot systems and reduce the cognitive burden on human teleoperators. With advances in haptic display technologies, interfaces with the human body, and networking capabilities, however, touch can be used for more than completing novel tasks. Touch can enhance social connections from afar, enable the inclusion of marginalized groups in community activities, and create new opportunities for remote work involving social and physical interactions.