According to this very instructive article, the BSCCO family is suitable for levitation as well:
Article A comparative study for magnetic levitation force in Type-II...
BSCCO & YBCO are materials that have different superconducting properties as critical transition temperatures are for BSCCO Tc ~ 110 K (the crystal group is D4h tetragonal) and Tc ~ 92 K (crystal structure is Orthorhombic D2h) for undoped YBCO. No non-magnetic impurities but Sr in BSCCO can change that.
Article 100 YEARS OF SUPERCONDUCTIVITY (1911-2011)
The BSCCO family has Sr on in, otherwise, the YBCO family needs Oxigen dopping, also there is the LSCO family that allows obtaining La2-xSrxCuO4, where dopping with Srx suppresses superconductivity it is very intriguing the way that they 3 can be compared.
We have been working intensively on LSCO numerically.