Year there was a shortage of Mighty Morphin Power Rangers:

1994

Source: Washington Post, 8/30/1994

 
   
  Year there was a Christmas shortage of Tickle Me Elmo dolls:

1996
Desperate parents resorted to toy scalpers.
Source: Washington Times, 12/21/1996

 
   
  Year there was a shortage of Cabbage Patch kids at Christmas time:

1983
According to U.S. News, 5,000 shoppers in Charleston, W.Va. waited in line for 5 hours at a store with only 120 dolls.
Source: USN&WR, 12/12/1983

 
   
  Year there was a Christmas time shortage of Furbys:

1998
Two women were injured at an Illinois Wal-Mart during a stampede to the Furby display at store opening.
Source: Deseret News, 12/5/1998