Ken Jones scored the winning try against the All Blacks
It is almost 52 years since Wales last beat New Zealand at rugby union.
Winston Churchill was Britain's Prime Minister and Eisenhower was the US President when the game was played on 9 December 1953.
The final score that day was 13-8 in a thrilling match which saw the Welsh side score two tries against opponents who had already beaten England, Scotland and Ireland.
Bleddyn Williams, 82, who captained the team, remembers the day well.
He told BBC Wales: "The first half of that game, our forwards weren't really up to standard at the time and we were getting a little bit of a hounding.
"Unfortunately then we lost our centre Gareth Griffiths. He went off with a dislocated collar bone and then we were only 14 men."
Replacing injured players did not happen in those days.
Williams added: "To my surprise after about 20 minutes Gareth Griffiths came back on the field but he couldn't do much because his arm was limp."
The scoreboard was the last to show a Wales victory over the All Blacks
Wales' Ken Jones scored the winning try - and that was the most memorable moment for forward John Gwilliam, who had captained the team during other games that season.
Now 82 and living in Llanfairfechan in Gwynedd, Gwilliam thinks Saturday's match will be close..
"The last game was very close...it's a great privilege to play against the All Blacks and I am sure the boys will get great highs."
"The Welsh are superb at the moment."
WHEN WALES LAST WON...
Winston Churchill was prime minister
Frankie Lane's Answer Me was Number 1
Queen Elizabeth II had just been crowned
Dwight D Eisenhower US President
Film-goers were watching Genevieve and From Here To Eternity
Both Gwilliam and Williams think the game has changed in many ways since the 1950s.
Williams said: "I have to be honest about it. If I was born in this era, I would have probably played in any case, but I don't think I would have enjoyed it to the extent that I did in the past.
"The camaraderie won't be there any more. These teams don't mix any more you see."
Williams said he also thought the game had become more defensive, with less flare, and the training regime is certainly different.
"I can't imagine myself training five days a week. We only trained twice a week on a Tuesday and Thursday night at Cardiff Arms Park."