To explain: if you want to define a taxonomy in which all things that look like fish and swim are 'fish' then we are too. We are more closely related to most 'fish' than sharks are. I.e the last common ancestor of herring AND sharks is older than our & herring's LCA.
Apparently if you go even further back and apply the same logic, we are all fungi. In fact, we both can synthesize vitamin D from sunlight, although I'm not sure if we do it the same way or use it for the same purpose.
Plants are also Eukaryotes but Fungi and Animalia have a more recent common ancestor than either has with Plantae.
We and fungi are both Opisthokonts, a distinct subclade of Eukaryotes, but plants are not.