Recent history or all-time? I'll add a few that come to mind (and from a list I've got elsewhere, I haven't got THAT good a memory):
Greatest moments:
Warne bowling KP round the legs, Adelaide, 06/07
Warne bowling Kallis with toppie to finish off SA just before the rain came, SCG 1997/98
Warne hat trick, v Eng, MCG 1994/95
McGrath hat trick v WI, Perth, 2000/01
Greatest innings (Test):
Kumar Sangakkara 192 v Aus, Hobart, 2007/08
Brian Lara 277 v Aus, SCG, 1992/93
Brian Lara 226 v Aus Adelaide 2005/06
Alastair Cook 235 v Aus, Brisbane, 2010/11
Adam Gilchrist 102* v Eng, Perth, 2006/07
Greatest spells:
Curtly Ambrose 7/1 v Aus in Perth 1992/93
Mitchell Johnson 6/38 v Eng, Perth, 2010/11
Mitchell Johnson 8/61 v SA, Perth, 2008/09
Shane Warne, 8/??? v Eng, Brisbane, 1994/95
Glenn McGrath, 8/24 v Pak, Perth, 2004/05
Greatest Tests:
Aus v India, SCG 2007/08
Aus v SA, SCG 2008/09
Aus v SA, SCG, 1993/94
Aus v WI, Adelaide, 1992/93. WI by 1 run...
Greatest moments (ODIs):
Bevan's last ball 4 v WI, SCG?, 1995/96
Asif Mujtaba smacked a Steve Waugh fullie for 6 to give Pakistan a tie, Hobart, 1992/93
Greatest innings (ODIs):
Dean Jones, 145 v Eng, Brisbane, 1990/91
Mark Waugh, 173 v WI, MCG, 2000/01
Adam Gilchrist, 122 v SL, Brisbane, 2005/06
Adam Gilchrist, 124 v Eng, MCG, 2002/03
Greatest spells (ODIs):
Glenn McGrath, 10 overs, 4/8 v India, SCG, 1999/00
Greatest matches (ODIs): made a list of these just recently so I'm all over it
Bevan's aforementioned SCG match
tie vs SA at Docklands, 2000
Aus v NZ, Perth, 2008/09, Kiwis won on last ball
SL v Aus, MCG, 2010/11, another close Aussie loss
Aus v Ind, SCG, 2003/04, Aus won rain reduced game on 2nd last ball with only a wicket or 2 left
Aus v NZ, SCG, 2006/07, Aus scrape home with only a couple of wickets left, Hussey NO at the end.
Aus v Ind, Brisbane, 1992 WC. Aus win by 1 run.
NZ v SA, Brisbane, 1997/98, NZ almost chase down 300, lose by 2 runs.
Aus v Zim, Perth, 2000/01, Zim almost chases down 302 with Dougie Marillier scooping McGrath for a couple of boundaries in the last over. Aus won by 1 run.
Although my favourite as a sadistic Aussie fan: Aus v Eng, 2002/03 @ SCG. Eng bowled out for about 110 and Gilchrist/Hayden knocked the runs off in around 10 overs.