Board Thread:Dragon Story Breeding/@comment-25363022-20140923123251/@comment-5089372-20140923130332

As it says on the Abominable Dragon page, you can obtain it by breeding an Ice Age Dragon with a Fuzzy Dragon.

So, first you need to breed an Ice Age dragon and go to the Arctic Isles (if you haven't already). Then, you should have no problem breeding Abominable.