This dataset showcases the capabilities of the ParaturboCAD Python library in automatically generating CAD models of optimized gas-bearing supported turbocompressors. Using input from NSGA-III driven optimizations that yield abstract/1D parameters, ParaturboCAD efficiently maps these parameters to detailed 3D geometries. Each model, provided in both STEP and STL formats, represents each of the subsystems and the final turbocompressor assembly. Designed to operate with R134a refrigerant, these centrifugal compressors are optimized for various nominal mass flows, demonstrating the library's proficiency in translating optimization results into practical, manufacturable designs. With an average generation time of less than 7 minutes per design on a 12 cores CPU clocked at 4.3HGz, this dataset not only validates the efficiency of ParaturboCAD but also serves as a valuable tool for researchers and engineers focusing on advanced compressor design and manufacturing processes.