Career
He was inducted with the number 1 in the Swedish Bandy Hall of Fame in 2011. Almkvist started his long hockey career at Upsala Gymnastics Sisters hockey club at the age of 15 in 1901. That year Sune Almkvist set a very high team goal record by making 19 goals in one match against the Force Academy (Karlberg) in the Nordic Festival hockey tournament.
The match ended 27–1.
He was also the first president of the Swedish Bandy Association from its founding in 1925 until 1950. Almkvist also played four matches for the Sweden national football team in 1908.