We point out two simple but instructive possibilities to construct the char
ged lepton and neutrino mass matrices, from which the nearly bimaximal neut
rino mixing with large T violation can naturally emerge. The two lepton mix
ing scenarios are very compatible with current experimental data on solar a
nd atmospheric neutrino oscillations, and one of them may lead to an observ
able T-violating asymmetry between nu (mu)--> nu (e) and nu (e)--> nu (mu).
transitions in the long-baseline neutrino oscillation experiments. Their i
mplications for the neutrinoless double beta decay are also discussed.