Despite being founded over 60 years earlier, TUCC did not get accepted into TCA competitions until the 1960–61 season.
TUCC competes in the TCA competition on Saturdays and Sundays from October to March.
The competition consists of a mix of two-day, one-day and T20 matches.
TCA Premierships: First Grade - (7) 1974–75, 1977–78, 1985–86, 1986–87, 1999–2000, 2008–2009, 2020–21 Kookaburra Cup One Day (7) - 1995–96, 1999–00, 2000–01, 2003–04, 2012–13, 2017–18, 2020–21 Twenty20 (2) - 2005–06, 2010–11, 2022-23 Twenty20 Statewide (1) - 2010-11 Women’s 2nd Grade T20 (1) - 2020-21 Emerson Rodwell Medallists - Ray Brown (80/81), Graeme Cunningham (03/04), Andrew Kealy (09/10), Josh Marquet (99/00), Brad Thomas (93/94, 95/96, 98/99) Kim Fazackerley Medallists - Amanda Silva (09/10), Sterre Kalis (17/18), Ashley Day (18/19) James Faulkner, Tim Paine, Jake Doran, Tim Ward (cricketer), Brad Hope, Timothy Oakley.
Ben Hilfenhaus, Andrew Perrin, Brad Thomas, Rhett Lockyear, Sterre Kalis, Julia Price, Eldine Baptiste, Josh Marquet, Jamie Cox, Dene Hills, Jason Krejza, Ben Laughlin, Josh Bean, Graeme Cunningham, Darren McNees, John Hampshire, Tony Daly, Ray Brown, Hassan Azad, Joe Mennie, Sasha Moloney, Katelyn Fryett, Maddie Blazely.