It is a tough issue to unlock the underlying polarization and magnetization simultaneously in non-quenched BiFeO3 ceramics due to high conductivity, intensive domain wall clamping and long range spiral spin arrangement. Here, in this paper, 0.75BiFe0.98Ga0.02O3-0.25(Ba0.85Ca0.15)(Zr0.10Ti0.90)O3 multiferroic ceramics was fabricated by conventional solid state reaction with non-quenched method. The crystalline structure analysis revealed that the ceramics was a single perovskite structure with coexistence of rhombohedral and pseudocubic phases. Complete domain switching was observed in the ceramics with high remnant polarization (44 μC/cm2), which was superior to other reported BiFeO3 based lead-free ceramics. Moreover, enhanced ferromagnetism with remnant magnetization (0.20emu/g) was also obtained. We believe that this excellent ferroelectric and ferromagnetic performance demonstrates this non-quenched BiFeO3 based ceramics as quite promising candidate for practical applications.