  We numerically analyze the energy level statistics of the Anderson model with
Gaussian site disorder and constant hopping. The model is realized on different
two-dimensional lattices, namely, the honeycomb, the kagom\'e, the square, and
the triangular lattice. By calculating the well-known statistical measures
viz., nearest neighbor spacing distribution, number variance, the partition
number and the dc electrical conductivity from Kubo-Greenwood formula, we show
that there is clearly a delocalization to localization transition with
increasing disorder. Though the statistics in different lattice systems differs
when compared with respect to the change in the disorder strength only, we find
there exists a single complexity parameter, a function of the disorder
strength, coordination number, localization length, and the local mean level
spacing, in terms of which the statistics of the fluctuations matches for all
lattice systems at least when the Fermi energy is selected from the bulk of the
energy levels.
