Materials that combine distinct properties within a single phase are of fundamental and technological interest1–9. However, it is challenging to harmoniously combine various properties, particularly since some physical properties are inherently mutually exclusive10–12. The artificial integration of these mutually exclusive properties could lead to innovative physical phenomena and functionalities, unattainable from conventional approaches. This has recently motivated extensive studies to artificially create bulk polarity and integrate it with seemingly incompatible electronic and structural properties13–16. However, the scope of their applications and the derived functionalities remain largely limited. Here, we present a universal strategy to achieve strong bulk polarity that not only coexists with its originally incompatible properties, such as metallicity, but also synergistically enables exceptional functionalities. A combination of thin-film synthesis, atomic-scale imaging, and theoretical calculations reveals that A-site selective atomic gradients induce strong polar states in otherwise centrosymmetric perovskite oxides ABO3. These polar states unconventionally coexist with various preexisting properties, leading to bulk polar metallicity with tunable nonreciprocal transport, high-κ dielectricity with an equivalent oxide thickness below 0.1 nm, and giant pyroelectricity. This work will facilitate the development of new multifunctional materials with unusual coexisting and synergistic properties.