1.in meaning: 别的is usually used in general sense, but 另外的makes a particular reference.
我只要一杯水,别的不要了。 我只要一个苹果,另外的几个你们吃吧。
2.in collocation: 别的can not be used with numeral-classifier compounds but 另外的 can be used
both on singular or plural 另一个 另外几个
3.in function: 别的 can be use as subject but 另外的only can be subject when it collocate with the measuring word.
别的都吃了,就剩苹果了。 另一个人吃饱了,你吃吧