Let $mathbb{C}^n$ be the space of $n$ complex variables. Let $Omega_{n, p_2, ldots, p_n}$ be a complete Reinhardt on $mathbb{C}^n$. The Minkowski functional on complete Reinhardt $Omega_{n, p_2, ldots, p_n}$ is denoted by $rho(z)$. The concept of spirallike mapping of type $beta$ and order $alpha$ is defined. So, the concept of the strong and almost spirallike mappings of type $beta$ and order $alpha$ is discussed in this paper. From the Schwarz-Pick lemma, under certain conditions, we obtain that the generalized Roper-Suffridge operators preserve strong and almost spirallikeness of type $beta$ and order $alpha$ on bounded and complete Reinhardt domains $Omega_{n, p_1, cdots, p_n}$. For specific values for $alpha$ and $beta$, we obtain the corresponding definitions of strong spirallike mappings of type $beta$, strong and almost starlike mappings of order $alpha$, strong starlike mappings. Therefore we obtain the generalized Roper-Suffridge operators preserve strong spirallikeness of type $beta$, strong and almost starlikeness of order $alpha$, strong starlikeness on the corresponding domains. In particular, our results reduce to many well-known results.