Torsion damping isolator assemblies (19 or 100 or 200) are disposed for damping torsionals in a vehicle driveline. The assemblies include spiral springs (62 or 202,204) and a vane damper assembly (22or 206) disposed in parallel and immersed in automatic transmission fluid of a torque converter housing (24). The damper assemblies include first and second relatively rotatable housing members (66,68 or 208,210). The housing first members are connected to radially inner ends of the springs, and the second members are connected to radially outer ends of the springs. The housing members define chambers which vary inversely in volume in response to flexing of the spring assemblies by driveline torsionals. The chambers communicate with the fluid in the torque converter housing via restricted passages (86,88 or 220f,220g). As the chambers vary in volume, energy from the torsionals is converted to fluid pressure in the chambers decreasing in volume. Assemblies (19 and 100) include lugs (77a) drivingly connecting the second member (68) to the torque housing. The lugs define valving members (77c,77d) which close or partially close the passages associated with the chamber decreasing in volume. Assembly (200) includes improved mounting (228,230) of the spring outer ends (202a,204a) and improved mounting (238) of the spring inner ends (202b,204b). Damper assembly (206) includes independent pistons (220) circumferentially held in position by drive lugs (226) which also function as valving members in a manner analogous to lugs (77a).