A ring (associative with identity) is called a fine ring if every nonzero element in it is the sum of a unit and a nilpotent element.  G. Cǎlugǎreanu and T.Y. Lam initiated the study of fine rings in  "Fine rings: a new class of simple rings.", J. Algebra Appl. (2016). In this talk, we review known results and discuss some new developments of this study.