The polarization orientation effect and porosity effect on the piezoelectric properties and related parameters are studied in 2–2-type composites based on domain-engineered relaxor-ferroelectric [011]-poled single crystals. The parameters, which are of great interest, are an anisotropy of the piezoelectric coefficients d3j*, an anisotropy of the energy-harvesting figures of merit d3j*g3j* and the hydrostatic piezoelectric coefficient dh*. An orientation of the main crystallographic axes in each polydomain single-crystal layer is described by angles β and γ. Diagrams built for the first time show the (β,γ) regions, where a large anisotropy of d3j* (or d3j*g3j*) is achieved, and where inequality dh*> 1000 pC/N holds. A large local max dh* = 1930 pC/N is achieved in a 2–2–0 PZN–0.065PT-based composite at the longitudinal piezoelectric coefficient d33* = 2290 pC/N and figure of merit d33*g33* = 1.02.10− 9 Pa− 1. The aforementioned large parameters are to be of value in piezoelectric sensing, energy harvesting and hydroacoustics.