Using the Space Telescope Imaging Spectrograph, we have obtained ultraviolet (UV) spectra from ∼ 1200 to 2000 Å of known Lyman continuum (LyC) emitting galaxies at low redshift (z ∼ 0.3 − 0.4) with varying absolute LyC escape fractions ( f esc ∼ 0.01 − 0.72). Our observations include in particular the galaxy J1243+4646, which has the highest known LyC escape fraction at low redshift. While all galaxies are known Lyman alpha emitters, we consistently detect an inventory of additional emission lines, including C iv λ1550, He ii λ1640, O iii] λ1666, and C iii] λ1909, whose origin is presumably essentially nebular. C iv λ1550 emission is detected above 4 σ in six out of eight galaxies, with equivalent widths of EW(C iv) = 12 − 15 Å for two galaxies, which exceeds the previously reported maximum emission in low-z star-forming galaxies. We detect C iv λ1550 emission in all LyC emitters with escape fractions f esc > 0.1 and find a tentative increase in the flux ratio C iv λ1550/C iii] λ1909 with f esc . Based on the data, we propose a new criterion to select and classify strong leakers (galaxies with f esc > 0.1): C iv λ1550/C iii] λ1909 > ∼ 0.75. Finally, we also find He ii λ1640 emission in all the strong leakers with equivalent widths from 3 to 8 Å rest frame. These are among the highest values observed in star-forming galaxies and are primarily due to a high rate of ionizing photon production. The nebular He ii λ1640 emission of the strong LyC emitters does not require harder ionizing spectra at > 54 eV compared to those of typical star-forming galaxies at similarly low metallicity.