The Anderson delocalization-localization transition is studied in multilaye
red systems with randomly placed interlayer bonds of density p and strength
t. In the absence of diagonal disorder (W=0), following an appropriate per
turbation expansion, we estimate the mean free paths in the main directions
and verify by scaling of the conductance that the states remain extended f
or any finite p, despite the interlayer disorder. In the presence of additi
onal diagonal disorder (W>0) we obtain an Anderson transition with critical
disorder W-c and localization length exponent v independently of the direc
tion. The critical conductance distribution P-c(g) varies, however, for the
parallel and the perpendicular directions. The results are discussed in co
nnection to disordered anisotropic materials.