In recent years, more and more evidence has amassed linking the broad-lined stripped-envelope SNe associated with GRBs with stripped-envelope Superluminous SNe. Among other things, it has been shown that SLSNe exist which peak at fainter luminosities than the classical -21 mag cutoff, while being spectrally identified as SLSNe. In my talk, I will approach this mystery from the other side, presenting two "shocking" GRB-SNe which exceed typical GRB-SNe significantly in luminosity. SN 2011kl, associated with the ultra-long GRB 111209A, is spectroscopically more similar to SLSNe than GRB-SNe. The SN associated with the normal GRB 131231A was not observed spectroscopically, but exceeds even SN 2011kl in luminosity, and shows even bluer colors. I will present these SNe in context and also discuss their influence on using GRB-SNe in cosmology.