Pluripolarity is a quite subtle property.
E. Bedford characterized pluripolar real-analytic submanifolds. For example, all real analytic curves in $\mathbb{C}^n$ are pluripolar for $n>1$.
In opposite direction, it's useful to know examples of sets that are not pluripolar. There is a very surprising example due to K. Diederich and J. E. Fornæss (1982) of a non-pluripolar $C^\infty$ smooth curve in $\mathbb{C}^2$. This construction can be extended to $\mathbb{C}^n$.