Spin provides attractive means to manipulate and detect quantum materials. A pure spin current delivers spin angular momentum with the fewest carriers in metals and no carriers in insulators. Spin current phenomena have mostly been established in collinear ferromagnets (FMs) with a large magnetization M, and not in antiferromagnets (AFs) with M = 0. In this talk, I will describe the observation of new pure spin current phenomena in non-collinear AFs, that are absent in collinear FMs and AFs. We have observed vector spin Seebeck effect (SSE) in LuFeO3 and LaFeO3 [1-3], including the transverse SSE, which has always been absent in collinear FMs and AFs. Furthermore, the transverse SSE is the realization of the theoretically predicted spin swapping effect [4]. Non-collinear AFs also offer attractive features for low-field AF spintronics. I will also discuss spin-triplet superconductors (SCs) and the prospects of spin supercurrent. Most SCs (e.g., Nb, cuprates) are spin-singlet, where the Cooper pairs have spin 0. Spin triplet SCs with spin 1 Cooper pairs are essential for Majorana fermions, quantum computing and also spin supercurrent. But triplet SCs are rare and require special methods for identification. I will describe some of these phase and spin-sensitive methods to identify triplet SC (b-Bi2Pd) and the prospects for spin supercurrent.