I don't choose reading material based on awards won, simply because I've read many, many books that I thought deserved awards but never received them. Many times, my book club will choose award winning books to review, so I do read a few, but it is not a large factor in the books I personally choose to read.
However, if I do choose a book based on an award, it would have to be the Newbery Medal for children/young adult literature. The Graveyard Book - by Neil Gaiman - is the latest John Newbery Medal winner I read and I absolutely loved this book. I have a great passion for children/young adult books and in recent years, this category makes up the largest majority of my reading material.