Dik,
Still asking for feedback, as your post is not clear: do you need something utterly non-toxic, i.e. that can be ingested, purposely or accidentally, and do no harm to humans? Or further, no harm to wildlife? Bugs? Amoebas?
Food-grade grease is really (usually) just very pure mineral grease, with no toxic additives.
Vegetable greases and animal greases (and, well, even mineral greases to an extent) are non-toxic to start, but have the disadvantage that they can decompose (be "food" to bacteria) and become something pretty nasty, unless they are treated with stuff to prevent bacterial growth, which...generally, is toxic...