We present two new quantum-integrable models with long-range spin interactions. First, a partially isotropic (xxz-type) spin chain that unifies the Inozemtsev and partially isotropic Haldane-Shastry chains. Its short-range limit is a variant of the twisted Heisenberg xxz chain. Second, a quantum many-body system that generalises the elliptic Ruijsenaars model by including spins with interactions mediated by dynamical R-matrices. It unifies the elliptic Calogero-Sutherland and trigonometric Ruijsenaars-Macdonald models with spins, and gives our spin chain by 'freezing'.