Electrospinning has been established as a reliable method for versatile fabrication of the assembly of nano- and microfibers and their various composites from both molten and dissolved polymers as well as their composites. However, the requirements of electrically chargeable polymers and the desired production rates have been the main limitations even after upscaling, which make it unattractive for industrial applications. Spinning processes based on centrifugal forces have therefore become in the last few years. With respect to fiber quality, safety and especially the production rate, a novel spinning approach where the centrifugal force ensures the fine tunability of fiber diameter distributions has been developed. The approach allows for the fabrication of various composite nanofibers (e.g. CNTs, ZnO) as well as interwoven textiles made from multiple nanofiber types in a simple manner. Therefore, an adequate design of the spinning head was developed. This work will demonstrate the working principle of the newly introduced spinning technique as well as the fabrication of different pure and nanocomposite polymer fibers in detail. Some examples of unique textiles, produced using centrifugally spun fibers, will be shown here which could have potential industrial applications.