  We present Kepler exoplanet occurrence rates for planets between $0.5-16$
R$_\oplus$ and between $1-400$ days. To measure occurrence, we use a
non-parametric method via a kernel density estimator and use bootstrap random
sampling for uncertainty estimation. We use a full characterization of
completeness and reliability measurements from the Kepler DR25 catalog,
including detection efficiency, vetting completeness, astrophysical- and false
alarm reliability. We also include more accurate and homogeneous stellar radii
from Gaia DR2. In order to see the impact of these final Kepler properties, we
revisit benchmark exoplanet occurrence rate measurements from the literature.
We compare our measurements with previous studies to both validate our method
and observe the dependence of these benchmarks on updated stellar and planet
properties. For FGK stars, between $0.5-16$ R$_\oplus$ and between $1-400$
days, we find an occurrence of $1.52\pm0.08$ planets per star. We investigate
the dependence of occurrence as a function of radius, orbital period, and
stellar type and compare with previous studies with excellent agreement. We
measure the minimum of the radius valley to be $1.78^{+0.14}_{-0.16}$
R$_\oplus$ for FGK stars and find it to move to smaller radii for cooler stars.
We also present new measurements of the slope of the occurrence cliff at $3-4$
R$_\oplus$, and find that the cliff becomes less steep at long orbital period.
Our methodology will enable us to constrain theoretical models of planet
formation and evolution in the future.
