  In this paper we study boundedness properties and singularities of log
Calabi-Yau fibrations, particularly those admitting Fano type structures. A log
Calabi-Yau fibration roughly consists of a pair $(X,B)$ with good singularities
and a projective morphism $X\to Z$ such that $K_X+B$ is numerically trivial
over $Z$. This class includes many central ingredients of birational geometry
such as Calabi-Yau and Fano varieties and also fibre spaces of such varieties,
flipping and divisorial contractions, crepant models, germs of singularities,
etc.
