The Space Animal Slayer is a well-known Jigglypuff combo most often used against a low-damage Fox or Falco, i.e. the space animals. It is performed by using up throw, jumping, and then using Rest. At medium percentages, an up aerial can be interposed to ensure Jigglypuff can Rest.
To survive such a combo it is possible to Smash DI to register a phantom hit or DI against Rest to potentially have time to Firebird or Firefox to the stage. A space animal should rarely DI upwards, because dying by star KO will allow Jigglypuff enough time to completely finish the sleeping animation.