Humans meet all of those criteria; we are animals.
Let's think about chimps for a moment. Getting more and more specific .... chimps are eukaryotes, they are metazoans, they are eumetozoans, they are bilaterians, they are deuterostomes, they are chordates, they are craniates, they are vertebrates, they are gnathostomes, they are tetrapods, they are amniotes, they are mammals, they are placental mammals, they are primates, they are great apes. Chimps are certainly animals. And guess what? Humans also are all those things listed: eukaryotes, metazoans, eumetazoans, and so on through the entire list. Based on our characters, we humans naturally group right there along with chimps.
PS: It wasn't an "evolutionist" who first officially recognized and published the fact that humans are animals: it was a Creationist, Carl von Linne, a.k.a. Carolus Linnaeus. He classified humans as mammals, and more restrictively, as primates; in fact, he was the one who gave us our unique species name: Homo sapiens. Linnaeus died in 1778: Darwin wasn't even born until 1809, so “Darwinism” could not have played any role in the scientific recognition that humans are animals. In fact, neither could Lamarckian evolution because Larmarck did not write his first views on evolution until the year 1800: 22 years after Linnaeus died.
“Linnaeus loved nature deeply, and always retained a sense of wonder at the world of living things. His religious beliefs led him to natural theology, a school of thought dating back to Biblical times but especially flourishing around 1700: since God has created the world, it is possible to understand God's wisdom by studying His creation. As he wrote in the preface to a late edition of Systema Naturae: Creationis telluris est gloria Dei ex opere Naturae per Hominem solum -- The Earth's creation is the glory of God, as seen from the works of Nature by Man alone. The study of nature would reveal the Divine Order of God's creation, and it was the naturalist's task to construct a "natural classification" that would reveal this Order in the universe.