Multiferroic magnetoelectric compounds are highly promising candidates for technological applications. Also, these compounds present a rich base for fundamental studies. In this work, we have studied BiFeO3-XTiO3 (X = Ba or Pb) solid solutions, rare-earth A-site substitutions (Bi1-yNdyFeO3) and lead free compositions (AlFeO3 and TbMnO3). The samples were processed by a high-energy ball-milling route. Their structural characteristics were carefully investigated by the conventional X-ray diffraction, synchrotron radiation X-ray diffraction and neutron diffraction. Structural refinements were performed by the Rietveld method in order to obtain crystal structure properties and allow electron density calculations (maximum entropy method). Density functional calculations were also used to study the structural and electronic structures. Ferroic properties were studied by using the dielectric, ferroelectric, magnetic and magnetoelectric measurements.