Customized-shaped-monolithic YBaCuO (YBCO) were produced applying the top-seeded-melt-growth (TSMG) method. These high-temperature superconductors (HTSCs) are single-domain monoliths according to optical microscopy, X-ray diffraction, neutron diffraction, as well as Hall probe measurements. The trapped magnetic induction of such a single-domain monolith at 77 K usually well exceeds 600 mT. An external scan of the remanent induction of a 17 mm×17 mm×8 mm large-single-domain sample at 77 K yields a record value of 865 mT. The zero-field-cooled (zfc) levitation forces of standard samples (38 mm×38 mm×12 mm) at 77 K typically amount to 60–70 N. Actually, 16 units with these standard sizes of the quality described can be produced in one batch. Furthermore, YBCO monoliths with diameters up to 130 mm were successfully melt-textured.