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The goal of this paper is to classify fusion categories $\otimes$-generatedby a $K$-normal object (defined in this paper) of Frobenius-Perron dimensionless than 2. This classification has recently become accessible due to a resultof Morrison and Snyder, showing that any such category must be a cyclicextension of a category of adjoint $ADE$ type. Our main tools in thisclassification are the results of Etingof, Ostrik, and Nikshych, classifyingcyclic extensions of a given category in terms of data computed from theBrauer-Picard group, and Drinfeld centre of that category, and the results ofthe author, which compute the Brauer-Picard group and Drinfeld centres of thecategories of adjoint $ADE$ type.  Our classification includes the expected categories, constructed from cyclicgroups and the categories of $ADE$ type. More interestingly we have categoriesin our classification that are non-trivial de-equivariantizations of theseexpected categories. Most interesting of all, our classification includes threeinfinite families constructed from the exceptional quantum subgroups$\mathcal{E}_4$ of $\mathcal{C}( \mathfrak{sl}_4, 4)$, and $\mathcal{E}_{16,6}$of $\mathcal{C}( \mathfrak{sl}_2, 16)\boxtimes \mathcal{C}(\mathfrak{sl}_3,6)$.

Classifying fusion categories $\otimes$-generated by an object of small Frobenius-Perron dimension