1) Is anointing oil still part of Jewish ritual?
2) Is it available to the public (for sale) anywhere?
Anointing oil was used in ancient times to annoint a new king, to annoint the kohanim and levi’im before they began their service (and to annoint each kohen gadol), and to annoint the vessels of the Tabernacle. It was made with special ingredients, and was present only during the First Temple era, but not in the Second Temple era. We do not have it today, and it is forbidden to prepare it for the a non-holy purpose of in the way the Torah prescribes.
It is therefore not available today.
Sources: See Rambam, Hilchos Kelei Ha-Kodesh, chap. 1.