Coxon played the 1,000 pound Coca-Cola tournament at Royal Hobart Country Club in Tasmania.
However, he played poorly in the final round and finished at 284, tied for second with Frank Phillips and Len Woodward, two back of champion Jack Sullivan.
He defeated Len Woodward, Frank Phillips, Colin McGregor, and John Sullivan by a stroke.
[4] In March 1961 he again received media coverage for his play at a notable tournament, this time at the New South Wales Open.
He shot an opening round 70 (−2) to tie four other players for the lead, including Peter Thomson and Norman Von Nida.
[15] By virtue of his good play he was selected to represent New Zealand at the 1965 Canada Cup to be held in Spain later in the year.
[16][17] He also earned entry into the Carling World Open, an elite international tournament held in the United States.
[30] He shot four-under-par for the remainder of tournament but was overtaken by Ross Newdick's final round 64 (−9), itself breaking Coxon's course record.
[57] Playing against an international field with a number of big names, Coxon finished at 293 (+1), in a tie for eighth place.
[93] The following week, on Monday November 27, he played the one-day, two-round Land Rover Tournament in Wanganui, New Zealand.
In the morning round he shot a 69 (−1) followed by a 65 (−5) for an "easy victory" over runner-ups Bob Charles and Frank Phillips.
Coxon "didn't look likely to be one of the joint leaders" at the beginning of the second round as he shot two-over-par for the first four holes.
[99] In the third round he played slightly worse, shooting a one-under-par 74, and fell a stroke behind leader Peter Thomson.
[100] However, Coxon failed to contend seriously during the fourth round, falling four strokes behind Thomson by Sunday's front nine.
Coxon opened with a 69 (−2) to put him one back of the lead held by Peter Mills and Jerry Stolhand.
[123] The following month, in September, he played the New South Wales PGA Championship at Castle Hill Country Club in Sydney.
He defeated a number of notable golfers by several shots including Billy Casper, Peter Oosterhuis, and David Graham.
He teamed up with the club's former treasurer, Tom Johnson, for a fourball handicap event played under the Stableford scoring system.
[128] Late in the month he played the North Coast Open at Coffs Harbour Golf Club.
He opened with a 71 (−1) to put him one back of the lead held by Englishman Clive Clark and Australian Alan Murray.
[129][130] However, he continued to play poorly, with subsequent rounds in the mid-70s, and finished significantly behind champion Tony Mangan.
[135] The following day, on May 20, he played the South Australian Open's pro-am at Glenelg Golf Club.
At Penrith Golf Club's pro-am he shot a 68 (−4) to finish in joint second, three behind champion Bill Dunk.
He opened with a 71 (−1) to put him in joint second, one behind leader Frank Phillips, tied with, among others, Gary Player and Peter Thomson for second place.
At the Wills pro-am golf tournament he shot a bogey-free 64 (−6) to tie Alan Murray for the win.
He finished joint second at the event, tied with Dunk and American Jerry Stolhand, nine shots behind champion Bennetts.
[143] In June he played the Blue Lake Classic at Mount Gambier Golf Club, also in South Australia.
His 69 (−3) to put him in a tie for second place with Dave Hill, one behind leaders Graham Johnson and Jack Nicklaus.
His fourball team of Colin McGregor, Kel Nagle, and Ian Alexander shot a 60 (−12) at the Liverpool Golf Course.
[147] Coxon continued to play in some events on the PGA Tour of Australia through the decade but did not record many notable results.