  The ATLAS collaboration reported excesses at around 2 TeV in the di-boson
production decaying into hadronic final states. We consider the possibility of
explaining the excesses with extra gauge bosons in two simple non-Abelian
extensions of the Standard Model. One is the so-called $G(221)$ models with a
symmetry structure of $SU(2)_1\otimes SU(2)_2\otimes U(1)_X$ and the other is
the $G(331)$ models with an extended symmetry of $SU(3)_C\otimes SU(3)_L\otimes
U(1)_X$. The $W'$ and $Z'$ bosons emerge after the electroweak symmetry is
spontaneously broken. Two patterns of symmetry breaking in the $G(221)$ models
are considered in this work: one is $SU(2)_L\otimes SU(2)_2 \otimes U(1)_X \to
SU(2)_L\otimes U(1)_Y$, the other is $SU(2)_1\otimes SU(2)_2 \otimes U(1)_Y \to
SU(2)_L\otimes U(1)_Y$. The symmetry breaking of the $G(331)$ model is
$SU(3)_L\otimes U(1)_X \to SU(2)_L \otimes U(1)_Y$. We perform a global
analysis of $W^\prime$ and $Z^\prime$ phenomenology in ten new physics models,
including all the channels of $W^\prime/Z^\prime$ decay. Our study shows that
the leptonic mode and the dijet mode of $W^\prime/Z^\prime$ decays impose a
very stringent bound on the parameter space in several new physics models. Such
tight bounds provide a useful guide for building new physics models to address
on the diboson anomalies. We also note that the Left-Right and Lepton-Phobic
models can explain the $3.4\sigma$ $WZ$ excess if the $2.6\sigma$ deviation in
the $W^+W^-$ pair around 2~TeV were confirmed to be a fluctuation of the SM
backgrounds.
