  Frame matroids and lifted-graphic matroids are two distinct minor-closed
classes of matroids, each of which generalises the class of graphic matroids.
The class of quasi-graphic matroids, recently introduced by Geelen, Gerards,
and Whittle, simultaneously generalises both the classes of frame and
lifted-graphic matroids. Let $\mathcal{M}$ be one of these three classes, and
let $r$ be a positive integer. We show that $\mathcal{M}$ has only a finite
number of excluded minors of rank $r$.
