On the other hand, I haven't mentioned even earlier domestic roots of the Third Wayists themselves.

Bliar & Brown were 'converted' to centrism and promoted by then leader Neil Kinnock; and the next leader John Smith, though more traditionalist, prepared the way towards Bliar's internal power structure changes and the symbolic and infamous changing of party statute Chapter IV by disempowering trade unions within the party. (Also, there was the Fabian Society, but I don't know its history of turning NuLab.)

In Germany, the domestic line was much more straightforward: Schröder is the ideological foster son of former (seventies-early eighties) chancellor Helmut Schmidt, him with the famous line "Those who have visions should see the doctor".

_{*Lunatic*, n.
One whose delusions are out of fashion.}

New Democrat. But he was called Third Wayist, too, from after the 1994 elections when he governed against/with a Republoscum House majority, but the term was promoted once Bliar came.

BTW, just having checked the Third Way (centrism) Wikipedia article, I find that the earliest manifestation they name is in the middle of the eighties, Labour in Australia.

_{*Lunatic*, n.
One whose delusions are out of fashion.}