We systematically investigate Galactic models for classical gamma-ray bursts (GRBs) in which gamma-ray bursts are ejected from the Galactic disc to populate the outer Galactic halo. We show that it is relatively easy to construct models in which the predicted GRB sky distribution is isotropic and consistent with the present BATSE data if the outer halo is not spherically symmetric. The only two additional requirements are that bursters receive a velocity kick larger than ~600-700 km s^-1 at birth and remain active bursters for at least 10^9 yr. We discuss the physical requirements burst models have to fulfil and suggest strongly magnetized neutron stars with magnetic fields of order 10^15 G as possible sources of classical GRBs. Non-spherical halo models predict some small anisotropies in the GRB sky distribution which should become detectable in time and would allow conclusive verification of a Galactic halo model. Their discovery would also allow inferences about the structure of the Galactic halo.