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Abstract We examine current collider constraints on some simple Z ′ models that fit neutral current B-anomalies, including constraints coming from measurements of Standard Model (SM) signatures at the LHC. The ‘MDM’ simplified model is not constrained by the SM measurements but is strongly constrained by a 139 fb−1 13 TeV ATLAS di-muon search. Constraints upon the ‘MUM’ simplified model are much weaker. A combination of the current B s mixing constraint and ATLAS’ Z ′ search implies M Z ′ > 1.2 $$ {M}_{Z^{\prime }}>1.2 $$ TeV in the Third Family Hypercharge Model example case. LHC SM measurements rule out a portion of the parameter space of the model for M Z ′ > 1.5 $$ {M}_{Z^{\prime }}>1.5 $$ TeV.