There's some interesting speculation here on the origins of the term bunny hill:http://ask.metafilter.com/45661/Wheres-the-bunnies My first guess would be as a 1950s pejorative term for where novice females ski, but the idea that it could have come from describing a hill the size of a rabbit's burrow is also feasible. The term is still used, probably mostly by those who are likely to head towards one. I believe the primary meaning is "the beginner area" at a ski resort where a lone or small number of runs are short learning slopes with little or no pitch. This is where a person would start if they had never, ever skied before. Good bunny slopes are segregated for learning and safety reasons from the more difficult terrain at a ski area. Aspen (Buttermilk) and Sun Valley (Dollar Mtn) are notable for segregated beginner areas (Jackson Hole too?). Almost every major resort has a good beginner area. The one at Squaw Valley, CA, is located high on the mountain and renowned for nice views and good snow conditions. Heavenly, CA has something like that too. As you probably know large beginner areas at major ski resorts can be very scary on peak days due to hundreds/thousand of out of control newbies converging on each other, the SnowShed beginner area at Killington comes to mind. Wildcat, NH has a good beginner area, esp that long easy trail called Wild Kitten. Some of the best beginner areas are at small and/or low key resorts where crowds are not such a problem, some Virginia examples of that are Bryce Mtn and The Homestead.
I tink that the term is much older than that, but I don't know it's origin. I have a reproduction of an old St Anton poster depicting Hannes Schneider teaching a whole bunch of cartoon bunnies how to ski. So I thin the term must have been around in the 30s or 40s.