  We classify all two-dimensional, unitary, rational conformal field theories
with two primaries, central charge $c<25$, and arbitrary Wronskian index. In
mathematical parlance, we classify all strongly regular vertex operator
algebras (VOAs) with central charge $c<25$ and exactly two simple modules. We
find that any such theory is either one of the Mathur-Mukhi-Sen (MMS) theories
$\mathsf{A}_{1,1}$, $\mathsf{G}_{2,1}$, $\mathsf{F}_{4,1}$, or
$\mathsf{E}_{7,1}$, or it is a coset of a chiral algebra with one primary
operator (also known as a holomorphic VOA) by such an MMS theory. By leveraging
existing results on the classification of holomorphic VOAs, we are able to
explicitly enumerate all of the aforementioned cosets and compute their
characters. This leads to 123 theories, most of which are new. We emphasize
that our work is a bona fide classification of RCFTs, not just of characters.
Our techniques are general, and we argue that they offer a promising strategy
for classifying chiral algebras with low central charge beyond two primaries.
