Hola, necesitaba crear un diseño como WhatsApp, que desplaza la barra de acción pero no tabLayout. Usé viewpager para cargar fragmentos en él. En el fragmento, agregué la vista de lista, pero en la vista de lista, deslice esa barra de acción que no se desplaza allí. Usando algunos tutoriales en stackoverflow, obtuve que para este propósito necesitaba usar nestedScrollView y funciona para mí. Pero deja de desplazarse por la vista de lista. Usé este código para eso.

activity_my.xml

<?xml version="1.0" encoding="utf-8"?>
<android.support.design.widget.CoordinatorLayout xmlns:android="http://schemas.android.com/apk/res/android"
xmlns:app="http://schemas.android.com/apk/res-auto"
android:id="@+id/main_content"
android:layout_width="match_parent"
android:layout_height="match_parent">

<android.support.design.widget.AppBarLayout
    android:id="@+id/appbar"
    android:layout_width="match_parent"
    android:layout_height="200dp"
    android:theme="@style/ThemeOverlay.AppCompat.Dark.ActionBar">

    <android.support.design.widget.CollapsingToolbarLayout
        android:id="@+id/collapsing_toolbar"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        app:layout_scrollFlags="scroll|exitUntilCollapsed"></android.support.design.widget.CollapsingToolbarLayout>

</android.support.design.widget.AppBarLayout>

<FrameLayout
    android:layout_width="match_parent"
    android:layout_height="?attr/actionBarSize"
    android:layout_gravity="bottom"
    app:layout_anchor="@+id/appbar"
    app:layout_anchorGravity="bottom"
    app:layout_collapseMode="none">

    <ImageView
        android:id="@+id/tabBg"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:background="@color/primary"
        android:scaleType="fitXY" />

    <android.support.design.widget.TabLayout
        android:id="@+id/tabs"
        android:layout_width="match_parent"
        android:layout_height="?attr/actionBarSize"
        android:layout_gravity="bottom"
        android:background="#00000000"
        app:layout_anchor="@+id/appbar"
        app:layout_anchorGravity="bottom"
        app:layout_collapseMode="none"
        app:tabGravity="fill"
        app:tabIndicatorColor="#fff"
        app:tabIndicatorHeight="2dp"
        app:tabMode="scrollable"
        app:tabSelectedTextColor="#fff"
        app:tabTextColor="#fff" />

</FrameLayout>
<android.support.v4.widget.NestedScrollView
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:layout_marginTop="?attr/actionBarSize"
    app:layout_behavior="@string/appbar_scrolling_view_behavior">

    <LinearLayout
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:minHeight="1000dp"
        android:orientation="vertical">

        <android.support.v4.view.ViewPager
            android:id="@+id/pager"
            android:layout_width="match_parent"
            android:layout_height="0dp"
            android:layout_weight="1"/>
    </LinearLayout>
</android.support.v4.widget.NestedScrollView>

<!--<android.support.v4.view.ViewPager
    android:id="@+id/pager"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:layout_marginTop="?attr/actionBarSize"
    app:layout_behavior="@string/appbar_scrolling_view_behavior" />-->
</android.support.design.widget.CoordinatorLayout>

MyActivity.java

public class MyActivity extends AppCompatActivity {
private TabLayout tabLayout;
private ViewPager viewPager;
ArrayList<Fragment> fragmentArrayList;
TabAdapter tabAdapter;

@Override
protected void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.activity_my);
    /*Toolbar toolbar = (Toolbar) findViewById(R.id.toolbar);
    setSupportActionBar(toolbar);
    getSupportActionBar().setDisplayHomeAsUpEnabled(false);*/

    viewPager = (ViewPager) findViewById(R.id.pager);
    setupViewPager(viewPager);

    tabLayout = (TabLayout) findViewById(R.id.tabs);
    tabLayout.setupWithViewPager(viewPager);
}

private void setupViewPager(ViewPager viewPager) {
    TabAdapter adapter = new TabAdapter(getSupportFragmentManager());
    adapter.addFragment(new OneFragment(), "ONE");
    adapter.addFragment(new OneFragment(), "TWO");
    adapter.addFragment(new OneFragment(), "THREE");
    viewPager.setAdapter(adapter);
   }

 }

FragmentOne.java

public class OneFragment extends Fragment {
ListView listTest;
ArrayList<String> itemList;
ArrayAdapter<String> adapter;

public OneFragment() {
    // Required empty public constructor
}

@Override
public void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
}

@Override
public View onCreateView(LayoutInflater inflater, ViewGroup container,
                         Bundle savedInstanceState) {
    View view = inflater.inflate(R.layout.fragment_one, container, false);
    listTest = (ListView) view.findViewById(R.id.listTest);
    itemList = new ArrayList<>();
    for (int i = 0; i < 50; i++) {
        itemList.add("Item : " + i);
    }
    adapter = new ArrayAdapter<String>(getActivity(), android.R.layout.simple_list_item_1, itemList);
    listTest.setAdapter(adapter);
    return view;
   }
}

fragment_one.xml

<?xml version="1.0" encoding="utf-8"?>
<RelativeLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:layout_width="match_parent"
    android:layout_height="match_parent">
    <ListView
        android:id="@+id/listTest"
        android:layout_width="match_parent"
        android:layout_height="match_parent"></ListView>
</RelativeLayout>

Usé LinearLayout monHeight = 1000dp porque si uso android: fillViewPort = "true" en nestedScrollView y elimino minHeight de LinearLayout, entonces la vista de lista muestra pero no se desplaza. Ahora se desplaza pero hasta 1000dp, entonces no se muestran los otros elementos.