He played cricket for both Warwickshire County Cricket Club and England. A right handed batsman, Amiss was a brilliant stroke maker particularly through extra cover and midwicket - his two favourite areas to score runs. He was an accomplished batsman in all forms of the game. He averaged 42.86 in first-class, 35.06 in List-A, 46.30 in Tests and 47.72 in One Day Internationals. In first-class cricket he scored 103 centuries.
After retiring as a player in 1987, he served Warwickshire as Chairman of the Cricket Committee, and he followed David Heath as Chief Executive from 1994 until 2005. He was awarded an honorary doctorate by the University of Birmingham in the summer of 2007.
Amiss was also a handy One Day International batsman scoring 859 runs, including four centuries and one half-century, with a top score of 137 against India which is still England's highest individual score in the cricket World Cup. He has the distinction of scoring the first ever one-day international century (103 in the second ever one-day international in 1972). He ended with an ODI batting average of 47.72, which excepting those players to have played fewer than five times remains the highest of any England batsman who has completed his career, although the still-active Kevin Pietersen averaged over 50 throughout the first 60 matches of his ODI career up until September 2007.
He was selected as one of the five Wisden Cricketers of the Year in 1975.