Full list as of February 3rd, 2020. In Order of most tries scored, then by most recent.
4 tries in a game
Keith Lulia - 4 vs Canterbury - 20/7/2014
Marika Koroibete - 4 vs Parramatta - 6/8/2012
Kevin McGuinness - 4 vs Souths - 4/8/2002
3 tries in a game
Paul Momirovski-3 v Dragons, 1/9/19
David Nofoaluma-3 v Knights 24/8/19
Manu Fonua-3 v Gold Coast 27/4/2019
Kevin Naiqama - 3 vs Gold Coast - 19/3/2016
James Tedesco - 3 vs Manly - 14/3/2016
Tim Moltzen - 3 vs St George-Illawarra - 11/8/2012
Robbie Farah - 3 vs Cronulla - 3/9/2011
Benji Marshall - 3 vs Melbourne - 29/8/2010
Geoff Daniela - 3 vs Warriors - 28/5/2010
Taniela Tuiaki - 3 vs Cronulla - 16/8/2009
Taniela Tuiaki - 3 vs Souths - 4/7/2009
Dean Collis - 3 vs Newcastle - 26/4/2009
Taniela Tuiaki - 3 vs Warriors - 29/6/2008
Chris Lawrence - 3 vs Penrith - 6/7/2007
Scott Prince - 3 vs Souths - 28/5/2006
Daniel Fitzhenry - 3 vs Melbourne - 2/4/2006
Paul Whatuira - 3 vs St George-Illawarra - 10/3/2006
Brett Hodgson - 3 vs North Queensland - 9/9/2005
Paul Whatuira - 3 vs Canterbury - 19/8/2005
Scott Prince - 3 vs Cronulla - 31/7/2005
Robbie Farah - 3 vs Souths - 24/7/2005
Jason Moodie - 3 vs Souths - 8/8/2004
Luke Covell - 3 vs Parramatta - 30/5/2004
John Wilson - 3 vs Newcastle - 27/7/2003
Troy Wozniak - 3 vs Cronulla - 14/4/2002
Joel Caine - 3 vs Brisbane - 6/2/2000