  In this short note we construct two families of examples of large stratifying
systems in module categories of algebras. The first examples consists on
stratifying systems of infinite size in the module category of an algebra $A$.
In the second family of examples we show that the size of a finite stratifying
system in the module category of a finite dimensional algebra $A$ can be
arbitrarily large in comparison to the number of isomorphism classes of simple
$A$-modules. We note that both families of examples are built using
well-established results in higher homological algebra.
