  NASA's \textit{Kepler} primary mission observed about 116 $deg^2$ in the sky
for 3.5 consecutive years to discover Earth-like exoplanets. This mission
recorded pixel cutouts, known as Target Pixel Files (TPFs), of over $200,000$
targets selected to maximize the scientific yield. The Kepler pipeline
performed aperture photometry for these primary targets to create light curves.
However, hundreds of thousands of background sources were recorded in the TPFs
and have never been systematically analyzed. This work uses the Linearized
Field Deblending (LFD) method, a Point Spread Function (PSF) photometry
algorithm, to extract light curves. We use Gaia DR3 as input catalog to extract
$606,900$ light curves from long-cadence TPFs. $406,548$ are new light curves
of background sources, while the rest are Kepler's targets. These light curves
have comparable quality as those computed by the Kepler pipeline, with CDPP
values $<100$ ppm for sources $G<16$. The light curve files are available as
high-level science products at MAST. Files include PSF and aperture photometry,
and extraction metrics. Additionally, we improve the background and PSF
modeling in the LFD method. The LFD method is implemented in the
\texttt{Python} library \texttt{psfmachine}. We demonstrate the advantages of
this new dataset with two examples; deblending of contaminated false positive
Kepler Object of Interest identifying the origin of the transit signal; and the
changes in estimated transit depth of planets using PSF photometry which
improves dilution when compared to aperture photometry. This new nearly
unbiased catalog enables further studies in planet search, occurrence rates,
and other time-domain studies.
