Burkitt's lymphoma is a high-grade B-cell non-Hodgkin's lymphoma that is rapidly growing and aggressive. There are three main types of Burkitt's lymphoma:1  Endemic: mainly occurs in equatorial Africa. 2  It is the most common malignancy of children in this area.urkitt's lymphoma is a high-grade B-cell non-Hodgkin's lymphoma that is rapidly growing and aggressive. There are three main types of Burkitt's lymphoma: