This is a question that we can ask about every bias. Is racism ever appropriate? Yes, if you're casting for a movie where the character's race is relevant. Is sexism ever appropriate? Yes, if you're looking to hire a surrogate mother (or, for many of us, a mate). But for other biases the question becomes more interesting.

I'm curious what definition of racism/sexism you're using here? If you mean a biased belief that doesn't correspond to reality and/or a 'bigoted preference' that is effectively a terminal value then the examples you give aren't racist.

If you mean making any decision on the basis of race a less contrived, if more mind killing, example is deciding whether to cross the street on the basis of the skin color of the person walking in your direction.