Thousands of years ago humans domesticated every possible large wild mammal species fulfilling all those criteria and worth domesticating with the result that there have been no valuable additions of domestic animals in recent times despite the efforts of modern science.
Suicidal violence is not the exclusive property of the Muslim world. Suicide bombings were a tactic of nationalist struggles in 19th-century Europe and Russia the far east during the second world war and the Vietnam war and in modern Sri Lanka.