We study previously unconsidered 3-3-1 models which are characterized by each lepton generation having a different representation under the gauge group. Flavor-changing neutral currents in the lepton sector occur in these models. To satisfy constraints on mu to 3e decays, the Z must be heavier than 2 to 40 TeV, depending on the model and assignments of the leptons. These models can result in very unusual Higgs decay modes. In most cases the mu-tau decay state is large (in one case, it is the dominant mode), and in one case, the Higgs to s-sbar rate dominates.