We investigate the static and dynamic critical behaviour of a uniformly dri
ven bilayer Ising lattice gas at half-filling. Depending on the strength of
the interlayer coupling J, phase separation occurs across or within the tw
o layers. The former transitions are controlled by the universality class o
f model A (corresponding to an Ising, model with Glauber dynamics), with up
per critical dimension d(c) = 4. The latter transitions are dominated by th
e universality class of the standard (single-layer) driven Ising lattice ga
s, with d(c) = 5 and a nonclassical anisotropy exponent. These two distinct
critical lines meet at a nonequilibrium bicritical point which also falls
into the driven Ising class. At all transitions, novel couplings and danger
ous irrelevant operators determine corrections to scaling.