No Saturn V launch failed. The very first all-up test of the Saturn V, Apollo 4, was a complete success. Apollo 6 was mostly a success, aside from the failure of the S-IVB to restart, and no part of the vehicle was lost. Every crewed launch of the Saturn V was a success, the Apollo 13 failures were unrelated to the Saturn V. For the uncrewed launch of Skylab on SA-513 the booster's S-IC and S-II stages worked normally. The third stage was Skylab itself, a converted S-IVB. It reached orbit successfully despite sustaining severe damage resulting in the loss of the station's micrometeoroid shield/sun shade and one of its main solar panels.

The "accidental abort test" was launched on a Little Joe II, a simple single-stage solid rocket motor, not a Saturn of any variety. This booster was unrelated to any Saturn hardware.