We study Carrollian and Galilean limits of bosonic higher-spin algebras in any space-time dimensions. We first recover the known limits in three space-time dimensions as quotients of the universal envoloping algebra of the Poincaré algebra and then we apply similar techniques in any dimension. In this way we identify-infinite dimensional algebras defined on the same vector spaces as the Eastwood-Vasiliev ones, but containing a Poincaré subalgebra.