  Magnonics is now an attractive field which focuses on the dynamic
characteristics of magnons, a kind of quasiparticles in magnetic media, and
attempt to apply magnons for functional devices. In order to construct magnon
based devices, it is necessary to fabricate materials with specific and tunable
magnon bands and band gaps. Skyrmion based magnonic crystals is one of the most
suitable materials which possess periodical skyrmion structure and show
applicative magnon bands and band gaps. In this review, we provide an overview
over recent theoretical and experimental research on skyrmion based magnonic
crystals. We will firstly provide an introduction of magnonic crystals and
magnetic skyrmion. And then we will show the theoretical and experimental
progress on skyrmion based magnonic crystals and their magnon band
characteristics. At the end, we will give an outlook and perspectives of new
fascinating fields on topological nontrivial magnon modes, as well as hybrid
and quantum magnonic phenomena of skyrmion based magnonic crystals.
