1996 Olds Cutlass Supreme shuts off when making right turns

Check all battery connections, a loose connection may be stretching slightly in right turns and disrupting power to car (battery could also have a bad cell, made up of plates that could be moving as well). Other possibilities include fuel sloshing away from pump pickup and pump may be operating at marginal fuel pressure, and vacuum lines that are also moving/leaking when the centrifugal force from a right turn pulls them apart. Go through the car, make sure all vacuum lines and battery cables are good and secure. Make sure the battery is bolted in place and can't move (and get it tested). If problem persists get a fuel pressure reading, you may be in need of a new fuel filter or fuel pump.