  Two Higgs Doublet Models (2HDM) provide a simple framework for new physics
models with an extended Higgs sector. The current LHC results, including both
direct searches for additional non-Standard Model (SM) Higgs bosons, as well as
precision measurements of the SM-like Higgs couplings, already provide strong
constraints on the 2HDM parameter spaces. In this paper, we examine those
constraints for the neutral scalars in the Type-I and Type-II 2HDM. In addition
to the direct search channels with SM final states: $H/A \to f\bar f, VV, Vh,
hh$, we study in particular the exotic decay channels of $H/A \to AZ/HZ$ once
there is a mass hierarchy between the non-SM Higgses. We found that $H/A \to
AZ/HZ$ channel has unique sensitivity to the alignment limit region which
remains unconstrained by conventional searches and Higgs precision
measurements. This mode also extends the reach at intermediate $\tan\beta$ for
heavy $m_A$ that are not covered by the other direct searches.
