Encouraged by the power of the techniques we developed in the classification of supersymmetric fluxbranes and nullbranes and eager to understand type II backgrounds describing intersections of flux/nullbranes with other branes, waves and monopoles we decided to tackle the more general problem of studying reductions of the backgrounds describing the elementary half-BPS M-theory solitons: the M2-brane, the M5-brane, the M-wave and the Kaluza-Klein monopole. It is well-known that one can obtain the type II branes by reducing these solitons (or their delocalised versions) by translations. The idea was then to generalise these constructions by twisting the translations by a (null) rotation. Although these geometries are very different from Minkowski spacetime, the techniques we employed for flat space work with little modification due to the asymptotic flatness of these geometries. Our results are contained in the companion papers Supersymmetric Kaluza-Klein reductions of M2- and M5-branes and Supersymmetric Kaluza-Klein reductions of M-waves and MKK-monopoles. These papers also contained examples of spacelike quotients which have closed timelike curves. A third paper together with my student Hannu Rajaniemi will treat the case of certain intersecting brane solutions, if he ever decides to get back to it.