Originally from Wellington, Taumata was bought to Australia as a 15-year-old to join the Brisbane Broncos. He was sacked by the Broncos for disciplinary breaches and also spent time at the Sydney Roosters before making his first grade debut with the Bulldogs in Round 16 2008, against his former club the Roosters.
Taumata signed with the Wests Tigers for the 2010 season. In June 2010, Taumata was released mid-season from his contract with the Wests Tigers after spending most of the year in the New South Wales Cup, to sign with the North Queensland Cowboys. He made his debut for the Cowboys that weekend, coming off the bench in their 20-19 loss to the Cronulla Sharks. It was his first NRL game in almost 2 years. In October 2010 he played for the New Zealand Māori in their 18-18 draw with England prior to the 2010 Four Nations tournament.
After being released by the Cowboys at the end of the 2010 season, Taumata signed by the Penrith Panthers on a one year deal for 2011. He played for the Panthers feeder club, the Windsor Wolves, in the NSW Cup.
After a stint in the Penrith Panthers feeder club, the Windsor Wolves in 2012, with the team reaching second on the NSW Cup ladder, Taumata played his first rugby league game at the top grade level in almost two years, on 17 of June 2012, for the Penrith Panthers against the Gold Coast Titans. Taumata scored a try in the 59th minute of the Round 15 game - his first try at the top grade level for the Panthers. This was also Taumata's debut appearance for the club at first grade level.
Taumata played for the Newtown Jets in 2014 before moving to Tumut in 2015.
- Bad boy Taumata taking steps to redemption stuff.co.nz, 19 June 2012
- Karl deKroo (24 January 2009). "Melbourne Storm to take punt on bad boy Arana Taumata". Fox Sports News (Australia). http://www.foxsports.com.au/story/0,8659,24955014-23214,00.html. Retrieved 24 January 2009.
- Adrian Prosenko (24 October 2009). "Cayless aims for a front-row seat with Tigers in return season". Brisbane Times. http://www.brisbanetimes.com.au/sport/league/cayless-aims-for-a-frontrow-seat-with-tigers-in-return-season-20091024-he71.html. Retrieved 15 November 2009.
- "NRL Round 16 – 26 June 2010 19:30 - Dairy Farmers Stadium". Daily Telegraph (Sydney). 26 June 2010. http://www.dailytelegraph.com.au/sport/nrl/game?matchid=NRL20101604. Retrieved 27 June 2010.
- "2012 Match Centre – 17 June 2012 19:30 - Skilled Park". NRL.com. 17 June 2012. http://www.nrl.com/TelstraPremiership/MatchCentre/tabid/10999/Default.aspx#matchid=2416&tab=Stats. Retrieved 17 June 2012.