I need to add one more to that list; "Stone Cold Crazy" by Queen.
You're thinking of Garage, Inc. which was a later release after the crap heap that is Load/Reload/S&M. Garage Days was an EP with five tracks that was released in 1987, just after Jason Newsted joined the band. It was produced by the band, and sounded like it. It seemed to me at the time as if it was a practice session for the new bassist. That said, it was an amazing album with an unbelievable sound.
Garage, Inc. contained studio rerecorded versions of those same songs. Nonetheless, some of the songs added, including those you mentioned, were really, really well covered.
I have yet to meet Metallica fan from that era who was anything less that completely disappointed with the self titled album.
Most of the folks I know who defend that album discovered Metallica for the first time when it came out. Your mileage may vary.