Is a pumped-up version of endocytosis where large macromolecules, or even entire microscopic organisms, are engulfed and "eaten" by another cell.

The answer is PHAGOCYTOSIS.
Phagocytosis refers to the process by which a cell engulf a material or another cell. In unicellular organisms, phagocytosis is a mode of feeding while in eukaryotes, phagocytosis is the mean by which the defensive agents of the immune system attack foreign bodies which are found in the system. 

When plants die fungi breaks them down