The match day programme from 1959 is his oldest piece relating to the Lions.
Mr Matheson said donations from family and friends have helped grow the collection.
His reason for collecting is simple.
"I just do. I always think one day they'll be of interest."
His impressive collection, along with small contributions from others, make up a display at the Whangarei RSA.
Mr Matheson said usually the items were kept in a drawer at his home.
"One reason I wanted to do this, was so people can see them."
His favourite item is a scorecard from the All Blacks tour of New South Wales and Great Britain from July 1924 to January 1925.
The scores from 36 matches are written in by hand by his uncle Karl.
"That's what you call a tour."
A close second is a match day programme from May 1967 between New South Wales and Ireland at Sydney Sports Ground.
"That was the first day I was in Australia. I hope nobody pinches that one because there's probably not another one in New Zealand."
Mr Matheson, who is a life member of the Kamo Rugby and Squash Club, wouldn't be drawn on the winner of tomorrow's game.
"The Barbarians will be keen, it'll be a big day for them, it's an opportunity to make a name for themselves."
He said the Lions could be a bit rusty or jet-lagged.
"Although on paper, they're a pretty strong unit."
He said if the weather was bad, he wouldn't be at the game, but would watch from the RSA instead.
The Whangarei RSA is open to visitors for a full English breakfast on Sunday morning from 8.30 onwards.