The first difference is that Filipino adobo has a richer, more complex flavor profile than Mexican adobolesso if you're looking for a flavorful dish, Filipino adobo is the way to go.  Secondly, Filipino adobo is often made with pork or chicken poached in vinegar, soy sauce, crushed garlic, bay leaves, black pepper, and other spices.  Thirdly, Filipino adobo can be served either dry or wet steamed rice, whereas Mexican adobolesso with tortillas.