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In this paper, we consider the Standard Model (SM) with one family ofvector-like (VL) leptons, which couple to all three families of the SM leptons.We study the constraints on this model coming from the heavy charged leptonmass bound, electroweak precision data, the muon anomalous magnetic moment,lepton flavor violation, Higgs decay constraints and a recently measured leptonnon-universality observable, $R_{K^{*0}}$. We find that the strongestconstraints are coming from the muon $g-2, \R_{\mu\mu}=\Gamma(h\to\mu\mu)/\Gamma(h\to\mu\mu)_\text{SM}, \ R_{\gamma\gamma}$and $\text{BR}(\mu\to e\gamma)$. Although VL leptons couple to all threefamilies of the SM leptons, the ratio of electron-VL to muon-VL coupling isconstrained to be $\langle\lambda_e/\lambda_\mu\rangle\lesssim10^{-4}$. We alsofind that our model cannot fit the observed value of $R_{K^{*0}}$.

Vector-like Leptons: Muon g-2 Anomaly, Lepton Flavor Violation, Higgs Decays, and Lepton Non-Universality