  The star versions of the Scheepers property, namely star-Scheepers, strongly
star-Scheepers and new star-Scheepers property have been introduced. We explore
further ramifications concerning critical cardinalities. Quite a few
interesting observations are obtained while dealing with the Isbell-Mr\'{o}wka
spaces, Niemytzki plane and Alexandroff duplicates. The properties like
monotonically normal, locally countable cellularity (which is introduced here)
play an important role in our investigation. We study games corresponding to
the classical and star variants of the Scheepers property which have not been
investigated in prior works. Some open problems are also posed.
