Drilling wells in urban spaces requires special types of rigs that do not conflict with the surrounding environment. For this, a mutation of the current drilling equipment is necessary into what can be defined as an "urbanized drilling rig." Noise reduction, small footprint, and "good looking" rigs all help persuade the general public to accept the presence of drilling rigs in their neighborhood. This article reviews international projects that aim to integrate drilling with the urban infrastructures with a special focus on geothermal projects. Case studies are presented where tailored drilling rigs and new technology have already been implemented. The review aids the analysis of the main urban-related technical aspects of modern drilling rigs. Finally, the new trends in integrating architecture, urbanism, and drilling rig design are discussed. (Contains 14 figures.)