The hybrid system of low-dimensional electronic materials and superconducting materials has always been an attractive structure for studying mesoscopic transport and low-dimensional superconducting properties. Low-dimensional structures with strong spin-orbit coupling exhibit rich quantum phenomena combined with superconducting macroscopic quantum states. Therefore it has become an important platform for exploring novel physical properties and developing new topological quantum devices. The construction of hybrid superconducting devices based on high-quality one-dimensional electronic materials and the exploration of interfacial quantum transport phenomena have become the research frontiers. It is crucial to understand the characteristic scattering mechanisms and quantum transport processes in these hybrid systems on a nanoscale. The study of the coupling mechanism between the charge state and the topological localized state, and the experimental probe of the intrinsic transport properties of the topological states are the key issues, which enable the development of the new principles and methods for novel superconducting nano electronic devices and topological quantum devices. Due to the competition of multiple energy scales and complex bound states in these hybrid structures, the device physics and measurement schemes are facing unprecedented challenges. This paper reviews recent research progress of hybrid superconducting devices based on one-dimensional electronic systems, focusing on the material systems based on semiconducting nanowires and carbon nanotubes. Semiconducting nanowires with strong spin-orbit coupling and large Landau g-factor are expected to support Majorana bound states, and further improvements are needed in the material quality, interface between superconductors and nanowires, understanding of the transport mechanism, and detection scheme. The construction strategies of extending topological phase space, including broken symmetry, helical modes, semiconducting characteristics, and attenuation of the external magnetic field, are proposed and discussed in hybrid superconducting devices based on carbon nanotubes. The main phenomena and experimental challenges, ranging from material to device physics, are introduced briefly. Finally, this paper summarizes and prospects the development and transport studies of topological quantum devices based on one-dimensional systems.