All the cells on Earth can be classified into two classes, procaryotes
and eucaryotes. Eucaryotes are cells with a nucleus where genetic
material is stored. Procaryotes are cells without a nucleus. In
eucaryotes, the nucleus did not came alone. It came with a set of
organelles (small membrane bags) like mitochondria, endoplasmic
reticulum, Golgi bodies, lysosomes, vacuoles, and so on. Plant and
animal cells are eucaryotes and share many organelles.
Note. Plant cells are not the only cells that have cell wall and
chloroplasts. Fungi, like yeast and mushroom, have cell wall although
their cell wall is made of building blocks different from those of
plant cell wall. Algae and some single-celled eucaryotes have
chloroplasts, too.