We consider lepton flavor violations (LFV) mediated by a photino as a result of the nondiagonal slepton mass matrices in general supersymmetric models. Using the experimental upper bounds on l-->l'+gamma and mu- + Ti-->e(-) + Ti as constraints on the flavor changing slepton mass insertions, we predict the possible ranges of the upper limits. on the branching ratios of other LFV processes such as l-->3l', tau-->l(i not equal 3) + pi(0) (or eta, rho(0), phi), Z(0)-->l(i)(l) over bar(j not equal i), and muonium --> antimuonium conversion. Most of these decays are expected to occur with small branching ratios far below the current or future experimental search limits. We also derive constraints on the flavor conserving mass insertions from the anomalous magnetic moments of the leptons. [S0556-2821(99)01203-5].