  Inspired by the work [Ra1], we directly give a complete classification of
irreducible calibrated representations of affine Yokonuma-Hecke algebras
$\widehat{Y}_{r,n}(q)$ over $\mathbb{C},$ which are indexed by $r$-tuples of
placed skew shapes. We then develop several applications of this result. In the
appendix, inspired by [Ru], we classify and construct irreducible completely
splittable representations of degenerate affine Yokonuma-Hecke algebras
$D_{r,n}$ and the wreath product $(\mathbb{Z}/r\mathbb{Z})\wr \mathfrak{S}_{n}$
over an algebraically closed field of characteristic $p> 0$ such that $p$ does
not divide $r$.
