  We consider the nearest-neighbor simple random walk on $\Z^d$, $d\ge2$,
driven by a field of i.i.d. random nearest-neighbor conductances
$\omega_{xy}\in[0,1]$. Apart from the requirement that the bonds with positive
conductances percolate, we pose no restriction on the law of the $\omega$'s. We
prove that, for a.e. realization of the environment, the path distribution of
the walk converges weakly to that of non-degenerate, isotropic Brownian motion.
The quenched functional CLT holds despite the fact that the local CLT may fail
in $d\ge5$ due to anomalously slow decay of the probability that the walk
returns to the starting point at a given time (cf math.PR/0611666).
