Android application demonstrating the usage of ViewOverlay and OnPreDrawListener to achieve animations effects.

activity_main.xml

<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:tools="http://schemas.android.com/tools"
    android:id="@+id/root_layout"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:baselineAligned="false"
    android:orientation="horizontal"
    android:paddingBottom="@dimen/activity_vertical_margin"
    android:paddingLeft="@dimen/activity_horizontal_margin"
    android:paddingRight="@dimen/activity_horizontal_margin"
    android:paddingTop="@dimen/activity_vertical_margin"
    tools:context=".MainActivity" >

    <LinearLayout
        android:id="@+id/source_container"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:layout_weight="5"
        android:background="#eee"
        android:gravity="center_horizontal"
        android:orientation="vertical"
        android:paddingBottom="@dimen/activity_vertical_margin" >

        <TextView
            style="@style/column_header"
            android:layout_width="match_parent"
            android:layout_height="wrap_content"
            android:text="Source" />
    </LinearLayout>

    <LinearLayout
        android:id="@+id/destination_container"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:layout_marginLeft="@dimen/activity_vertical_margin"
        android:layout_weight="2"
        android:background="#eee"
        android:gravity="center_horizontal"
        android:orientation="vertical"
        android:paddingBottom="@dimen/activity_vertical_margin" >

        <TextView
            style="@style/column_header"
            android:layout_width="match_parent"
            android:layout_height="wrap_content"
            android:text="Destination" />
    </LinearLayout>

</LinearLayout>

Entry.java

package com.example.overlay;

public class Entry {

  private final int imageResId;
  private final String title;

  public Entry( int imageResId, String title ) {
    this.imageResId = imageResId;
    this.title = title;
  }

  public int getImageResId() {
    return imageResId;
  }

  public String getTitle() {
    return title;
  }

}

entry.xml

<?xml version="1.0" encoding="utf-8"?>
<FrameLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:id="@+id/entry_container"
    android:layout_width="match_parent"
    android:layout_height="wrap_content"
    android:layout_marginLeft="@dimen/activity_horizontal_margin"
    android:layout_marginRight="@dimen/activity_horizontal_margin"
    android:layout_marginTop="@dimen/activity_vertical_margin" >

    <LinearLayout
        android:id="@+id/entry"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:background="@android:color/background_light"
        android:gravity="center_vertical"
        android:orientation="horizontal" >

        <ImageView
            android:id="@+id/entry_image"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_marginRight="4dp" />

        <TextView
            android:id="@+id/entry_text"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:textAppearance="?android:attr/textAppearanceMedium" />
    </LinearLayout>

</FrameLayout>

ItemClickListener.java

package com.example.overlay;

import android.app.Activity;
import android.view.LayoutInflater;
import android.view.View;
import android.view.View.OnClickListener;
import android.view.ViewGroup;
import android.view.ViewTreeObserver;
import android.view.ViewTreeObserver.OnPreDrawListener;
import android.view.animation.DecelerateInterpolator;
import android.widget.FrameLayout;
import android.widget.ImageView;
import android.widget.LinearLayout;
import android.widget.TextView;

public class ItemClickListener implements OnClickListener {

  private final Entry entry;
  private final ImageView srcView;
  private final ViewGroup rootView;
  private final ViewGroup destContainer;
  private final Activity activity;

  public ItemClickListener( Activity activity, Entry entry, ImageView srcView ) {
    this.activity = activity;
    this.entry = entry;
    this.srcView = srcView;
    this.rootView = ( ViewGroup )activity.findViewById( R.id.root_layout );
    this.destContainer = ( LinearLayout )activity.findViewById( R.id.destination_container );
  }

  @Override
  public void onClick( View v ) {
    final FrameLayout destView = createDestView();
    final ViewTreeObserver observer = destView.getViewTreeObserver();
    observer.addOnPreDrawListener( new OnPreDrawListener() {

      @Override
      public boolean onPreDraw() {
        observer.removeOnPreDrawListener( this );

        final LinearLayout entryView = ( LinearLayout )destView.findViewById( R.id.entry );
        final ImageView imageView = ( ImageView )destView.findViewById( R.id.entry_image );

        imageView.setTranslationX( getAbsX( srcView ) - getAbsX( imageView ) );
        imageView.setTranslationY( getAbsY( srcView ) - getAbsY( imageView ) );
        rootView.getOverlay().add( imageView );
        imageView.animate()
          .translationX( 0 )
          .translationY( 0 )
          .setInterpolator( new DecelerateInterpolator( 2 ) )
          .setDuration( 500 );

        destContainer.getOverlay().add( entryView );
        destView.getLayoutParams().height = entryView.getMeasuredHeight();
        entryView.setAlpha( 0 );
        entryView.setTranslationY( 100 );
        entryView.animate()
          .translationY( 0 )
          .setDuration( 500 )
          .alpha( 1 )
          .setStartDelay( 0 )
          .setInterpolator( new DecelerateInterpolator( 2 ) )
          .withEndAction( new Runnable() {

            @Override
            public void run() {
              destContainer.getOverlay().remove( entryView );
              destView.addView( entryView );
              rootView.getOverlay().remove( imageView );
              entryView.addView( imageView, 0 );
            }
          } );
        return true;
      }
    } );
  }

  private float getAbsX( View view ) {
    if( view.getParent() == view.getRootView() ) {
      return view.getX();
    } else {
      return view.getX() + getAbsX( ( View )view.getParent() );
    }
  }

  private float getAbsY( View view ) {
    if( view.getParent() == view.getRootView() ) {
      return view.getY();
    } else {
      return view.getY() + getAbsY( ( View )view.getParent() );
    }
  }

  private FrameLayout createDestView() {
    LayoutInflater layoutInflater = LayoutInflater.from( activity );
    FrameLayout destView = ( FrameLayout )layoutInflater.inflate( R.layout.entry,
                                                                  destContainer,
                                                                  false );
    ImageView imageView = ( ImageView )destView.findViewById( R.id.entry_image );
    imageView.setImageResource( entry.getImageResId() );
    TextView textView = ( TextView )destView.findViewById( R.id.entry_text );
    textView.setText( entry.getTitle() );
    destContainer.addView( destView );
    return destView;
  }
}

MainActivity.java

package com.example.overlay;

import java.util.ArrayList;

import android.app.Activity;
import android.os.Bundle;
import android.view.Menu;
import android.view.MenuInflater;
import android.view.MenuItem;
import android.widget.ImageView;
import android.widget.LinearLayout;

public class MainActivity extends Activity {

  private final ArrayList<Entry> entries;

  public MainActivity() {
    entries = new ArrayList<Entry>();
    entries.add( new Entry( R.drawable.collections_go_to_today, "Calendar" ) );
    entries.add( new Entry( R.drawable.content_read, "Envelope" ) );
    entries.add( new Entry( R.drawable.location_web_site, "Location" ) );
    entries.add( new Entry( R.drawable.social_group, "Social Group" ) );
  }

  @Override
  protected void onCreate( Bundle savedInstanceState ) {
    super.onCreate( savedInstanceState );
    setContentView( R.layout.activity_main );
    createSourceItems();
  }

  private void createSourceItems() {
    LinearLayout sourceContainer = ( LinearLayout )findViewById( R.id.source_container );
    for( Entry entry : entries ) {
      ImageView srcView = new ImageView( this );
      srcView.setImageResource( entry.getImageResId() );
      LinearLayout.LayoutParams params = new LinearLayout.LayoutParams( LinearLayout.LayoutParams.WRAP_CONTENT,
                                                                        LinearLayout.LayoutParams.WRAP_CONTENT );
      params.topMargin = getResources().getDimensionPixelSize( R.dimen.activity_vertical_margin );
      sourceContainer.addView( srcView, params );
      ItemClickListener listener = new ItemClickListener( this, entry, srcView );
      srcView.setOnClickListener( listener );
    }
  }

  @Override
  public boolean onCreateOptionsMenu( Menu menu ) {
    MenuInflater inflater = getMenuInflater();
    inflater.inflate( R.menu.main, menu );
    return true;
  }

  @Override
  public boolean onMenuItemSelected( int featureId, MenuItem item ) {
    boolean result = super.onMenuItemSelected( featureId, item );
    if( item.getItemId() == R.id.action_clear ) {
      LinearLayout destinationContainer = ( LinearLayout )findViewById( R.id.destination_container );
      int childCount = destinationContainer.getChildCount();
      for( int i = 1; i < childCount; i++ ) {
        destinationContainer.removeViewAt( 1 );
      }
    }
    return result;
  }
}