No major awards, never really top 5 in his position
Betweem 2007-2008 to 2017-2018
In regular season Getzlaf is #4 in point among center, #5 in PPG among center with 250 games played.
During is career (2005 to today)
In the playoff:
He is number 3 in points for a center, 120points in 125 games, number 4 in ppg ex-aqueo with playoff hero like Briere and Zetterberg.
That elite offensive output with good advanced stats possession and a elite GF% ratio (+169 career), specially considering that in those #3, #4, #5 type of ranking he always have Crosby/Malkin above him, hard to fault a player to be below those 2, and he would have hardware (1 Art Ross and 1 Hart) if not of them.
Among active player he is
8th in points
8th in points per game
Terrific playoff track record and good international play with Team canada.
Except for Malkin-Crosby, there is not many center that are clearly above Getzlaf for the 2007 to 2017 period imo, does seem above Staal and many other candidates, center being usually a very competitive position.