  The interplay between band topology and magnetic order could generate a
variety of time-reversal-breaking gapped topological phases with exotic
topological quantization phenomena, such as quantum anomalous Hall (QAH)
insulators and axion insulators (AxI). Here by combining analytic models and
first-principles calculations, we predict QAH and AxI phases can be realized in
thin film of an intrinsic antiferromagnetic van der Waal material
Mn$_2$Bi$_2$Te$_5$. The phase transition between QAH and AxI is tuned by the
layer magnetization, which would provide a promising platform for chiral
superconducting phases. We further present a simple and unified continuum model
that captures the magnetic topological features, and is generic for
Mn$_2$Bi$_2$Te$_5$ and MnBi$_2$Te$_4$ family materials.
