  We construct $N=2$ super-$W_{n+1}$ strings and obtain the complete physical
spectrum, for arbitrary $n \ge 2$. We also derive more general realisations of
the super-$W_{n+1}$ algebras in terms of $k$ commuting $N=2$ super
energy-momentum tensors and $n-k$ pairs of complex superfields, with $0\le k
\le [\ft{n+1}{2}]$.
