  Starting from mirror pairs consisting only of linear (framed A-type) quivers,
we demonstrate that a wide class of three-dimensional quiver gauge theories
with N=4 supersymmetry and their mirror duals can be obtained by suitably
gauging flavor symmetries. Infinite families of mirror pairs including various
quivers of D and E-type and their affine extensions, star-shaped quivers, and
quivers with symplectic gauge groups may be generated in this fashion. We
present two different computational strategies to perform the aforementioned
gauging procedure - one of them involves N=2* classical parameter space
description, while the other one uses partition functions of the N=4 theories
on S^3. The partition function, in particular, turns out to be an extremely
efficient tool for implementing this gauging procedure as it readily
generalizes to arbitrary size of the quiver and arbitrary rank of the gauge
group at each node. For most examples of mirror pairs obtained via this
procedure, we perform additional checks of mirror symmetry using the Hilbert
series.
