  In this paper, we consider the wild nonabelian Hodge correspondence for
principal $G$-bundles on curves, where $G$ is a connected complex reductive
group. We establish the correspondence under a ``very good" condition
introduced by Boalch, and thus confirm one of his conjectures. We first give a
version of Kobayashi--Hitchin correspondence, which induces a one-to-one
correspondence between stable meromorphic parahoric Higgs torsors of degree
zero (Dolbeault side) and stable meromorphic parahoric connections of degree
zero (de Rham side). Then, by introducing a notion of stability condition on
filtered Stokes local systems, we prove a one-to-one correspondence between
stable meromorphic parahoric connections of degree zero (de Rham side) and
stable filtered Stokes $G$-local systems of degree zero (Betti side). When
$G={\rm GL}_n(\mathbb{C})$, the main result in this paper reduces to
Biquad--Boalch's result.
