It helps to think about why it's beneficial for an organ/tissue to regenerate. The liver is your main detoxifying organ. It does this by chemically modifying external (and internal) molecules to counter their possible bad effects or simply to be able to excrete them. This role brings liver cells in harms way. Take paracetamol for example. It is recognized as a foreign compound and detoxified mainly in the liver. If you overdose like many unfortunately do, liver cells are the first to die. So, to keep up your defenses the body has activated regeneration in liver cells but not in many other parts of the body that are more safely tucked away.
That said, many other organs and tissues in the body constantly regenerate too. The intestinal tract constantly produces new surface cells from stem cells that lie deeper down in the organ because it also is on the front lines just like liver cells. Something similar is true for the skin but of course skin and gut are both external organs and therefore closer to our environment. The liver is not far off, because it is among the first organs to receive blood from the intestine.
So even though it is possible to induce regeneration in many cells of our bodies artificially as induced pluripotent stem cells have shown, evolution has switched this on only in a few of our cell types which require more renewal than others, hepatocytes included.