Continuous production of shape memory alloy (SMA) fibers and microfibers is a non-trivial task due to the challenges associated with their undeformed memory and, for many copper-based SMAs, brittleness in non-engineered forms. Here we demonstrate the direct continuous casting of super-meter-scale Cu-based SMA microfibers into a desirable oligocrystalline microstructure that is not brittle. The melt-casting process used here develops a favorable texture as well, leading to large superelastic strains (above 8 %), beyond what is typical for non-single-crystal SMAs. Cu-based shape memory alloys (SMAs) generally perform poorly when they are polycrystalline, due to intergranular cracking associated with their high elastic anisotropy and transformation mismatch strains. However, the same brittle SMAs can exhibit excellent shape memory and superelasticity, as well as fatigue properties that approach those of single crystals, when they are produced in fine dimensions and with a specific grain microstructure: an oligocrystalline or "bamboo" grain structure where the grain boundaries lay almost perpendicular to the fiber axis, reducing relative grain boundary area [1,2]. These materials could be used in a number of novel applications, such as smart textiles, if they could be manufactured in large quantities via a continuous process.