many aliens die in many episodes (particularly episode 4) and although they don't count as "animals" per se, still important to note the minor character death
again: alien bodies, but both the saucer men that Rosa throws into space and the alien that suffocates because of earth's atmospheric composure are shown as dead, and the one that suffocates even dies on screen. (all on episode four btw)
in episode 4 of season one, xenomorph type creatures tell the main characters that they are going to be eaten, and during the chase scene that results Jo teleports into the kitchen with what seems to be human parts being prepared to eat. I didn't catch it on my first run of the episode since the gore blends into the reds of the spaceship but if you pay too much attention to the background you do catch a glimpse.