The Forced Displacement Microdata dashboard lists publicly available datasets that have a representative sample of refugees or internally displaced people (IDP); by country, year, theme, data producer among others. I customized the Shiny dashboard based on the Eviatlas package.
Dashboard: https://rstudio.unhcr.org/FDMAtlas/
Code: https://github.com/belisards/FDPDataAtlas
Paper: Data Gaps in Microdata in the Context of Forced Displacement by Takaaki Masaki and B. Madson.