  We extend the coset space formulation of the one-field realization of
$w_{1+\infty}$ to include more fields as the coset parameters. This can be done
either by choosing a smaller stability subalgebra in the nonlinear realization
of $w_{1+\infty}$ symmetry, or by considering a nonlinear realization of some
extended symmetry, or by combining both options. We show that all these
possibilities give rise to the multi-field realizations of $w_{1+\infty}$. We
deduce the two-field realization of $w_{1+\infty}$ proceeding from a coset
space of the symmetry group $\tilde{G}$ which is an extension of $w_{1+\infty}$
by the second self-commuting set of higher spin currents. Next, starting with
the unextended $w_{1+\infty}$ but placing all its spin 2 generators into the
coset, we obtain a new two-field realization of $w_{1+\infty}$ which
essentially involves a $2D$ dilaton. In order to construct the invariant action
for this system we add one more field and so get a new three-field realization
of $w_{1+\infty}$. We re-derive it within the coset space approach, by applying
the latter to an extended symmetry group $\hat{G}$ which is a nonlinear
deformation of $\tilde{G}$. Finally we present some multi-field generalizations
of our three-field realization and discuss several intriguing parallels with
$N=2$ strings and conformal affine Toda theories.
