Three prime examples of food storage in the scriptures are:
First, Joseph of Egypt. See the Joseph and the Amazing Technicolor Dreamcoat on We Jew.com
He was wrongfully imprisoned and then released when he interpreted Pharaoh's disturbing dream to mean 7 years of famine to follow 7 years of plenty. Pharaoh put him in charge of gathering grains and preparing for the famine. He finally caught up with his family because they were starving in Canaan, and its happily ever after.
The Lord commanded Noah and his family to build an ark and take two animals of every kind and board the ship. We don't know how long he was in the boat (the Bible states 40 days and 40 nights), but the number 40 in Hebrew represents a very long time.
The people in Noah's time just laughed when he told them to repent, and particularly at building a boat in the middle of the desert. Then the flood came, and everything was destroyed except Noah, his family, and their passengers aboard the ark.
Third, the Nephites eradicate the Gadianton robbers, found in 3 Nephi 4 in the Book of Mormon
0 B.C. In A.D. 3 a band of robbers was in the surrounding mountains where the Nephites lived. So strong were their places of hiding and their holds that the people could not overpower them; yet, the band of robbers were murdering people en masse.
By A.D. 18 the problem had progressed to the point it was all-out war, and the fall of liberty and takeover of the government was being threatened. The Nephites used food storage (and prayer) to extinguish the robbers. They gathered everyone and all their provisions and horses, cattle, and flocks to subsist for seven years if they needed to. The robbers' food supply was cut off, as they were unable to steal anymore. There was no way for them to continue to exist, as their means of survival was by stealing and murdering. After much struggle, the Nephites were able to defeat the robbers and restore peace.
Read the unedited version in 3 Nephi 2 verse 11 through chapter 5.
Now, how will food storage save God-fearing people in modern times? We shall see!