  We review and investigate lepton flavor models, stemming from discrete
non-Abelian flavor symmetries, described by one or two free model parameters.
First, we confront eleven one- and seven two-parameter models with current
results on leptonic mixing angles from global fits to neutrino oscillation
data. We find that five of the one- and five of the two-parameter models
survive the confrontation test at $3\sigma$. Second, we investigate how these
ten one- and two-parameter lepton flavor models may be discriminated at the
proposed ESSnuSB experiment in Sweden. We show that the three one-parameter
models that predict $\sin\delta_{\rm CP}=0$ can be distinguished from those two
that predict $|\sin\delta_{\rm CP}|=1$ by at least $7\sigma$. Finally, we find
that three of the five one-parameter models can be excluded by at least
$5\sigma$ and two of the one-parameter as well as at most two of the five
two-parameter models can be excluded by at least $3\sigma$ with ESSnuSB if the
true values of the leptonic mixing parameters remain close to the present
best-fit values.
