  We propose new lepton-mixing textures that may be enforced through
well-defined symmetries in renormalizable models. Each of our textures has four
sum rules for the neutrino mass observables. The models are based on the type-I
seesaw mechanism; their charged-lepton mass matrices are diagonal because of
the symmetries imposed. Each model has three versions, depending on the
identification of the charged leptons. Testing all the models, we have found
that five of them agree with the data at the 1 sigma level when the
neutrino-mass ordering is normal, and two models agree with the data for an
inverted ordering. We detail the predictions of each of those seven models.
