Recent evidence for an excess of gamma rays in the GeV energy range about theGalactic Center have refocused attention on models of dark matter in the lowmass regime ($m_\chi \lesssim m_Z/2$). Because this is an experimentallywell-trod energy range, it can be a challenge to develop simple models thatexplain this excess, consistent with other experimental constraints. Wereconsider models where the dark matter couples to dark photon, which has aweak kinetic mixing to the Standard Model photon, or scalars with a weak mixingwith the Higgs boson. We focus on the light ($\lesssim 1.5 GeV$) dark mediatormass regime. Annihilations into the dark mediators can produce observable gammarays through decays to $\pi^0$, through radiative processes when decaying tocharged particles ($e^+e^-, \mu^+\mu^-,...$), and subsequent interactions ofhigh energy $e^+e^-$ with gas and light. However, these models have no signalsof $\bar p$ production, which is kinematically forbidden. We find that in thesemodels, the shape of resulting gamma-ray spectrum can provide a good fit to theexcess at Galactic Center. We discuss further constraints from AMS-02, and findregions of compatibility.