He was one of the seven sons of Thomas Boxshall, who was foreman of the Carlton Gardens in Melbourne. He played club cricket in Melbourne before moving to Christchurch in the late 1890s. He made his first-class debut for Canterbury in February 1898 at the age of 35, opening the batting and top-scoring with 25 in his first innings. In two matches in 1898-99 he made six stumpings off five different Canterbury bowlers.
Playing for New Zealand
After those three matches he was selected to tour Australia with the New Zealand team in 1898-99 when Arnold Williams was unavailable. He became the regular New Zealand wicket-keeper, playing in 12 of New Zealand's next 14 matches. His last matches for New Zealand came on the tour of Australia in 1913-14, when at 51 he was still the country's first choice as wicket-keeper. He was replaced later that season, when Australia toured New Zealand, by James Condliffe. "Short and rotund," said Dick Brittenden, "he wore an ample white moustache, but as a wicket-keeper he was incredibly quick, so quick that there were some who said he could not do what he did and do it legally. A left-hander and a willing hitter, he was always given a tremendous reception when he came out to bat." He often made useful runs in the lower order. In 1902-03, when Lord Hawke's XI thrashed South Island by an innings and 130 runs, Boxshall top-scored in each innings for South Island, with 15 and 40. In 1908-09 against Otago, after Canterbury had lost their first nine wickets for 108, he came in at number 11 and put on 98 for the last wicket with Sydney Orchard. He retired from first-class cricket in March 1915 at the age of 52.
Later life
In New Zealand he ran the Booklovers' Library in Christchurch's Cathedral Square. When he returned to Australia in the early 1920s he lived in Sydney and had business interests in New Guineaoil. An obituary appreciation in the Christchurch Evening Post said he was "the most brilliant wicket-keeper ever seen in New Zealand, being quite as good as any man who has toured here with overseas teams". In 1936 the New Zealand cricket historianTom Reesedeclared that Boxshall was the greatest New Zealand wicket-keeper.