Here are the multiple GOTY winners from Microsoft with how many awards the game won and the percentage of total awards for that year.
2014
Sunset Overdrive - 5 1.22%
Forza Horizon 2 - 4 0.98
2012
Halo 4 - 20 5.19%
2011
Gears of War 3 - 5 1.24%
2010
Halo Reach - 4 1.37%
2008
Gears of War 2 - 8 3.92%
Fable II - 8 2.94%
2007
Halo 3 - 6 3.8%
Mass Effect - 4 2.53%
2006
Gears of War - 34 30.09%
2004
Halo 2 - 11 20%
2014
Sunset Overdrive - 5 1.22%
Forza Horizon 2 - 4 0.98
2012
Halo 4 - 20 5.19%
2011
Gears of War 3 - 5 1.24%
2010
Halo Reach - 4 1.37%
2008
Gears of War 2 - 8 3.92%
Fable II - 8 2.94%
2007
Halo 3 - 6 3.8%
Mass Effect - 4 2.53%
2006
Gears of War - 34 30.09%
2004
Halo 2 - 11 20%