  Recent advances in curved N=2 superspace methods have rendered the component
reduction of superspace actions more feasible than in the past. In this paper,
we consider models involving both vector and tensor multiplets coupled to
supergravity and demonstrate explicitly how component actions may be
efficiently obtained. In addition, tensor multiplets coupled to conformal
supergravity are considered directly within projective superspace, where their
formulation is most natural. We then demonstrate how the inverse procedure --
the lifting of component results to superspace -- can simplify the analysis of
complicated multiplets. We address the off-shell N=2 vector-tensor multiplet
coupled to conformal supergravity with a central charge and demonstrate
explicitly how its constraints and Lagrangian can be written in a simpler way
using superfields.
