Use CursorLoaders! It's easy! replace commented code with uncommented to get Phones(instead SMS) list in the same easy way

MainActivity.java

package pl.selvin.simplelistfragmentsample;

import android.database.Cursor;
import android.net.Uri;
import android.os.Bundle;
import android.support.v4.app.FragmentActivity;
import android.support.v4.app.ListFragment;
import android.support.v4.app.LoaderManager;
import android.support.v4.content.CursorLoader;
import android.support.v4.content.Loader;
import android.support.v4.widget.CursorAdapter;
import android.support.v4.widget.SimpleCursorAdapter;
import android.view.View;

public class MainActivity extends FragmentActivity {
    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        if (savedInstanceState == null) {
            getSupportFragmentManager().beginTransaction().replace(android.R.id.content, new SimpleListFragment()).commit();
        }
    }

    public static class SimpleListFragment extends ListFragment implements LoaderManager.LoaderCallbacks<Cursor> {

        private final static int[] to = new int[]{android.R.id.text1, android.R.id.text2};

        //private final static String[] from = new String[]{ContactsContract.CommonDataKinds.Phone.DISPLAY_NAME, ContactsContract.CommonDataKinds.Phone.NUMBER};
        //private final static String[] projection = new String[]{ContactsContract.CommonDataKinds.Phone._ID, ContactsContract.CommonDataKinds.Phone.DISPLAY_NAME, ContactsContract.CommonDataKinds.Phone.NUMBER};
        //private final static String orderBy = ContactsContract.CommonDataKinds.Phone.DISPLAY_NAME;
        //private final static Uri uri = ContactsContract.CommonDataKinds.Phone.CONTENT_URI;

        private final static String[] from = new String[]{"address", "body"};
        private final static String[] projection = new String[]{"_id", "address", "body"};
        private final static String orderBy = "address";
        private final static Uri uri = Uri.parse("content://sms/inbox");

        @Override
        public void onCreate(Bundle savedInstanceState) {
            super.onCreate(savedInstanceState);
            final SimpleCursorAdapter adapter = new SimpleCursorAdapter(getActivity(), android.R.layout.simple_list_item_2, null, from, to, 0);
            setListAdapter(adapter);
        }

        @Override
        public void onViewCreated(View view, Bundle savedInstanceState) {
            super.onViewCreated(view, savedInstanceState);
            setListShownNoAnimation(false);
            getListView().setFastScrollEnabled(true);
            getLoaderManager().initLoader(0, null, this);
        }

        @Override
        public Loader<Cursor> onCreateLoader(int i, Bundle bundle) {
            return new CursorLoader(getActivity(), uri, projection, null, null, orderBy) ;
        }

        @Override
        public void onLoadFinished(Loader<Cursor> loader, Cursor cursor) {
            ((CursorAdapter) getListAdapter()).swapCursor(cursor);
            if (isResumed()) {
                setListShown(true);
            } else {
                setListShownNoAnimation(true);
            }
        }

        @Override
        public void onLoaderReset(Loader<Cursor> loader) {
            ((CursorAdapter) getListAdapter()).swapCursor(null);
        }
    }
}