Is there a concept of giving a fatter sacrifice?

Question

Is there a concept of giving a fatter sacrifice as opposed to a smaller one? I believe the Torah says there are different levels of sacrifices depending on your wealth (e.g. a cow vs. a bird vs. flour, etc.), but is there a concept of giving a fatter one of the same animal? (E.g. a fat cow vs. a skinny cow.)

Answer 1

The mishna (Menachos 83–86) says all flour and wine offerings must be brought from top-quality produce: it lists various criteria for choosing produce, some of which, if not met, invalidate the offering. The g'mara (87) explains that top-quality animals, too, were chosen.