Amateur

Anderson's two best seasons were 1957 and 1958 when, as an amateur, he twice achieved a ranking of world No. 2.^[2][3]

In 1957, Anderson won the US Championships as an unseeded player. Earlier that year, he had reached the semifinals of the Australian Championships and won the French Championship doubles, partnering with Ashley Cooper, the man he went on to defeat in the final of the 1957 US Championships.

In 1958, Anderson was a finalist at both the Australian Championships and US Championships, losing both times to Cooper.

Professional

Anderson turned professional in late 1958. He finished fourth in the 4-man 1959 World Championship tour behind Gonzales, Hoad, and Cooper, although he won five matches against Hoad.^[4] In the 1959 Ampol world series of tournaments, Anderson finished tied for sixth place with Segura. At the Forest Hills Tournament of Champions, part of the Ampol series, Anderson lost a close quarterfinal to Hoad. Later in the Ampol series, Anderson won the Wembley Championships, defeating defending champion Frank Sedgman in the quarterfinal, and with close five-set victories over Ken Rosewall in the semifinal and Pancho Segura in the final.^[5][6] Anderson saved match point against Segura before winning.^[7] Following the win, Anderson stated that he would retire from pro tennis as soon as he had saved enough money to buy a farm in Australia.^[8] At the Sydney White City Tournament of Champions in December, also part of the Ampol series, Anderson reached the semifinal where he lost to Hoad.^[9]

Anderson announced his retirement from the pro tour following the 1963 Wembley tournament, citing eyesight problems.^[10]

Anderson appeared in another major final in 1972, when at age 36, he was a finalist at the Australian Open, defeating Newcombe in a long five set quarterfinal, and Metreveli in the semifinal, before losing the final to Ken Rosewall. In that same season, he won the Hong Kong Hardcourt title defeating Geoff Masters in the semifinal and Pancho Gonzales in the final. In 1973, he captured the Australian Open doubles title along with John Newcombe. Anderson's last important tournament win was the 1973 New South Wales Championships at Sydney White City (billed as Sydney International), where he defeated in succession Hans Plotz, Phil Dent in five long sets, Colin Dibley in five sets, Newcombe in a close four set semifinal, and Rosewall in the final in three close sets.

Anderson played on four Australian Davis Cup teams, in 1957, 1958, 1972 and 1973, the team winning twice (1957 and 1973).

Singles: 4 (1 title, 3 runner-ups)

Result	Year	Championship	Surface	Opponent	Score
Win	1957	U.S. Championships	Grass	Ashley Cooper	10–8, 7–5, 6–4
Loss	1958	Australian Championships	Grass	Ashley Cooper	5–7, 3–6, 4–6
Loss	1958	U.S. Championships	Grass	Ashley Cooper	2–6, 6–3, 6–4, 8–10, 6–8
Loss	1972	Australian Open	Grass	Ken Rosewall	6–7(2–7), 3–6, 5–7

Doubles: 3 (2 titles, 1 runner-up)

Result	Year	Championship	Surface	Partner	Opponents	Score
Loss	1957	Australian Championships	Grass	Ashley Cooper	Lew Hoad Neale Fraser	3–6, 6–8, 4–6
Win	1957	French Championships	Clay	Ashley Cooper	Don Candy Mervyn Rose	6–3, 6–0, 6–3
Win	1973	Australian Open	Grass	John Newcombe	John Alexander Phil Dent	6–3, 6–4, 7–6

Mixed doubles: 1 (1 title)

Result	Year	Championship	Surface	Partner	Opponents	Score
Win	1957	Australian Championships	Grass	Fay Muller	Jill Langley Billy Knight	7–5, 3–6, 6–1

Pro Slam finals: 1 (1 title)

Result	Year	Championship	Surface	Opponent	Score
Win	1959	Wembley Pro	Indoor	Pancho Segura	4–6, 6–4, 3–6, 6–3, 8–6