Yes, humans ARE animals.
1. We are living things.
2. Our cells have a bilipid membrane, but not cell wall.
3. The cells are surrounded by an extracellular matrix of glycoproteins and collagen.
So we are animals.
But, even further, we have spines, so we are vertebrates.
We maintain bodily temperature, have specialized teeth, and give birth after development in a uterus along with a placenta. So we are placental mammals (as opposed to marsupial mammals).
We have a collar bone, flat finger nails, eye sockets made from bone, stereoscopic vision, and an enlarged cerebral cortex. So we are primates.
We also have color vision, lack of cheek pouches, no tail, a fused frontal bone (forehead), downward pointed nostrils, and a broad chest. So...wait for it....we *are* apes.