  We continue to introduce bi-galileon theory, the generalisation of the single
galileon model introduced by Nicolis et al. The theory contains two coupled
scalar fields and is described by a Lagrangian that is invariant under Galilean
shifts in those fields. This paper is the second of two, and focuses on the
phenomenology of the theory. We are particularly interesting in models that
admit solutions that are asymptotically self accelerating or asymptotically
self tuning. In contrast to the single galileon theories, we find examples of
self accelerating models that are simultaneously free from ghosts, tachyons and
tadpoles, able to pass solar system constraints through Vainshtein screening,
and do not suffer from problems with superluminality, Cerenkov emission or
strong coupling. We also find self tuning models and discuss how Weinberg's no
go theorem is evaded by breaking Poincar\'e invariance in the scalar sector.
Whereas the galileon description is valid all the way down to solar system
scales for the self-accelerating models, unfortunately the same cannot be said
for self tuning models owing to the scalars backreacting strongly on to the
geometry.
