Eleven of the twelve are stable. The twelfth is Hestia in some lists and Dionysus in others, and you will see both in printed charts. Hades is the other name people ask about: he is Zeus's brother and a child of Cronus and Rhea, but he rules the underworld, so the usual lists leave him out.
The story that Hestia gave up her seat to Dionysus is not an ancient myth. No ancient source tells it; it comes from Robert Graves's The Greek Myths (1955), and the atlas's Hestia entry repeats it as a retelling. Ancient lists of twelve gods vary by place and author, and there is no single canonical list. Hesiod does not give one, and the Theogony places Hestia first among Rhea's children (Theogony 453-454). Dionysus's parents (Zeus and the mortal Semele, Theogony 940-942) are the same whether or not he is counted among the twelve.