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There are many teams who won All Irelands, with no one on the team having an All Ireland in any grade, but Tipperary in 1920 would not be one of those teams as a few players on the team that won the 1920 All Ireland were on the team that won the first All Ireland Junior Football Championship in 1912, including famous players of the Bloody Sunday game - Ned O'Shea and Jerry Shelly.

But the OP just said minor or u21.

For the rugby question when you say an international team besides Ireland do you include representational teams like the Barbarians and the Lions or do you mean an actual country?

For the 1965 throw-in, it no longer was thrown in by a bishop.
Jack O'Shea missed the penalty in 1986.
For the team that won an All-Ireland without nobody on the panel holding previous All-Ireland medals there's surely lots of answers e.g. Kildare 1905, Tipperary 1920, Down 1960, Meath 1987, etc.
The Down All-Star without a Senior All-Ireland is Paddy Kennedy.

It would be a shame for the only man to ever win an All-Star before he played in Croke Park to bow out at this level in such a fashion.

Are you sure about that?

What about Mickey Kearns (Sligo) in 1971?