This is a collection of lists of the best XBLIGs of 2011. If you're looking for a great XBLIG to purchase, these lists would be a fantastic place to start!
GameMarx collects the top games selected by their crew each week for 2011.
Indie Gamer Chick's Xbox Live Indie Games All-Time Top 10 captures her top 10 games for 2011. (look on the sidebar on the right of her site)
Collected list of Best Xbox LIVE Indie Games for 2011 by IndieGameMag
manasteel88 creates his top 10 XBLIG over on Destructoid
VVGTV creates the top 10 games of 2011 that you need to play
Daizoren and VVGTV bring you the top XBLIGs of 2011
OtakuDante collects his list of the top 10 XBLA and XBLIG of 2011
Ricky B. shares Indie Theory's favorite Xbox LIVE Indie Games of 2011
Microsoft shares their best XBLIGs of 2011
coming soon... (I hope ;) )