Recently, oscillating high-speed slab jets, or liquid sheets, have been proposed for shielding the first walls of inertial fusion energy (IFE) reactor chambers from damaging X-rays, neutrons and ions. The near-field dynamics of obliquely oscillating turbulent liquid sheets were investigated in scaled experiments. Results are presented for sheets at Reynolds numbers up to 37000 oscillated along various directions at frequencies from 0 to 11 Hz and amplitudes up to half the nozzle thickness (0.5δ). Data on maximum trajectories of oscillating sheets and growth rates of stationary sheets are presented for distances up to 90δ downstream of the nozzle exit. A model for predicting the maximum trajectory is presented. The bulk of the experimental data are in reasonable agreement with this model. These results can be used to provide design guidelines for thick liquid protection.