The Craftsman screwdrivers don't just strip out JIS screws - they also fail miserably on most Phillips screws. Either the screws are subpar or the driver is subpar, but I suspect the latter.However, the WF “Phillips” screwdriver tips are shaped differently compared to the PR and Vessel drivers, and they absolutely round out/strip the heads of JIS screws.
Another vote here for Vessel ball grip. The tip is perfect, but the ball grip makes it easy to apply substantial pressure in case it is ever needed.