Here is one I haven't seen that's even shorter
arr.slice(1).slice(-5)
Run the code snippet below for proof of it doing what you want
var arr1 = [0, 1, 2, 3, 4, 5, 6, 7],_x000D_
arr2 = [0, 1, 2, 3];_x000D_
_x000D_
document.body.innerHTML = 'ARRAY 1: ' + arr1.slice(1).slice(-5) + '<br/>ARRAY 2: ' + arr2.slice(1).slice(-5);
_x000D_
Another way to do it would be using lodash https://lodash.com/docs#rest - that is of course if you don't mind having to load a huge javascript minified file if your trying to do it from your browser.
_.slice(_.rest(arr), -5)