Despite over a decade of ground-breaking discoveries, the full astrophysical potential of the Kepler mission remains underexplored. The original Kepler mission has delivered unprecedented high-quality photometry that continues to impact Galactic archaeology, asteroseismology, and exoplanetary science. However, the full scientific output of Kepler's observations remains limited due to incomplete stellar properties, a gap that complementary surveys are uniquely positioned to fill. In this work, we perform three state-of-the-art characterizations of the ~ 200,000 stars observed by Kepler based on Gaia DR3 data. First, we place the stars on the color-magnitude diagram (CMD), correct interstellar extinction, and classify targets into several CMD categories (dwarfs, subgiants, red giants, photometric binaries, and others). Second, we report various categories of candidate binary systems, spanning a range of detection methods (e.g., renormalised unit weight error (RUWE), Gaia radial velocity variables, Gaia non-single stars (NSS), Kepler and Gaia eclipsing binaries, among others). Third, we use the Gaia DR3 astrometry and radial velocities to perform a detailed kinematic analysis. We classify the Kepler stars among different Galactic components (think disk, thick disk, halo), and approximately triple the sample size of previous works. We explore the role of their Galactic population membership in properties such as asteroseismic ages, chemical composition, and stellar rotation. This multi-dimensional approach addresses the challenge of fully exploiting the untapped scientific value of Kepler. Our analysis also highlights the capabilities of combining the Gaia data with other photometric missions such as TESS and the upcoming PLATO. Our catalog can assist in the selection of stellar and exoplanet host samples regarding CMD, binary, and kinematic populations, and is publicly available as a resource to the community (Godoy-Rivera et al., 2025, A&A).