  In this article, we demonstrate that the unexpected peak at around $95 \,
{\rm GeV}$ as seen recently by CMS in the di-photon final state can be
explained within the type-I~two-Higgs-doublet model by means of a
moderately-to-strongly fermiophobic CP-even Higgs $H$. Depending on the Higgs
mass spectrum, the production of such~a~$H$ arises dominantly from vector boson
fusion or through a cascade in either $pp \to t \bar t$ with $\overset{(-)}{t}
\to H^{\pm} \overset{(-)}{b} \to W^{\pm \, \ast} H \overset{(-)}{b}$ or $pp \to
A$ with $A \to W^{\mp} H^{\pm} \to W^{\mp} W^{\pm} H$ or via $pp \to W^{\pm \,
\ast} \to H^\pm H$. In this context, we also discuss other Higgs anomalies such
as the LEP excess in Higgsstrahlung and the observation of enhanced rates in $t
\bar t h$ at both the Tevatron and the LHC, showing that parameters capable of
explaining the CMS di-photon signal can address the latter deviations as well.
The Higgs spectra that we explore comprise masses between $80 \, {\rm GeV}$ and
$350\, {\rm GeV}$. While at present all constraints from direct and indirect
searches for spin-0 resonances can be shown to be satisfied for such light
Higgses, future LHC data will be able to probe the parameter space that leads
to a simultaneous explanation of the discussed anomalies.
