What type of organisms have cells that carry out all of the processes shown at the right?

Eukaryotic cell

A Eukaryotic cell contains a nucleus; more than one chromosome and is typically a multi-celled organism.  Both plant and animal cells are eukaryotic cells.

The advantage is that eukaryotic cells have a nucleus which functions formally as to store the DNA of the cell which can translate into many functions such as cell division and work structure between cells that forms the hierarchial function to tissues.