Our application makes heavy use of webviews. When testing on ICS, we noticed that we need to set the application property hardwareAccelerated="true". However, doing this caused a few other bugs in our application, most of which we have fixed. We are still having problems getting our 'slide-in' animation working. Without any code changes, the animation simply does a 'reveal' type animation rather than sliding. We have tries a few different things:
Approach 3 is the most promising, but we have not figured out how to avoid the redraw. We have created a small test case using a sample project with a single activity:
activity class:
    int accelValue = View.LAYER_TYPE_NONE; //hack
/** Called when the activity is first created. */
@Override
public void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.main);
    addClickListenerAnimation(R.id.buttonhl, R.anim.to_left, View.VISIBLE, View.INVISIBLE);
    addClickListenerAnimation(R.id.buttonhr, R.anim.to_right, View.VISIBLE, View.INVISIBLE);
    addClickListenerAnimation(R.id.buttonsl, R.anim.from_left, View.INVISIBLE, View.VISIBLE);
    addClickListenerAnimation(R.id.buttonsr, R.anim.from_right, View.INVISIBLE, View.VISIBLE);
    final Button b = (Button) findViewById(R.id.accel);
    b.setOnClickListener(
                         new View.OnClickListener()
                        {
                            @Override
                            public void onClick(View v)
                            {
                                accelValue = ++accelValue % 3;
                                b.setText(accelValue == 0 ? "NONE" : accelValue == 1 ? "S/W" : "H/W");
                            }
                        });
}
private void addClickListenerAnimation(int buttonId, final int animId, final int startVis, final int endVis)
{
    Button b = (Button) findViewById(buttonId);
    b.setOnClickListener(
     new View.OnClickListener()
    {
        @Override
        public void onClick(View v)
        {
            final WebView wv = (WebView) findViewById(R.id.webview);
            final View layout = findViewById(R.id.frame);
            Animation a = AnimationUtils.loadAnimation(getApplicationContext(), animId);
            a.setDuration(500);
            a.setAnimationListener(new AnimationListener()
            {
                @Override
                public void onAnimationStart(Animation animation)
                {
                    Log.i("sb", "layer type was " + wv.getLayerType());
                    Log.i("sb", "llayout layer type was " + layout.getLayerType());
                    wv.setLayerType(accelValue, null);
                    Log.i("sb", "setting layer type " + accelValue);
                }
                @Override
                public void onAnimationRepeat(Animation animation)
                {
                }
                @Override
                public void onAnimationEnd(Animation animation)
                {
                    wv.setLayerType(View.LAYER_TYPE_NONE, null);
                    Log.i("sb", "restoring layout layer type " + layout.getLayerType());
                }
            });
            layout.setAnimation(a);
            layout.setVisibility(endVis);
        }
    });
}
@Override
protected void onStart()
{
    super.onStart();
    ((WebView)findViewById(R.id.webview)).loadUrl("http://www.wikipedia.org");
}
from_left.xml animation (other animation xmls are similar):
<set xmlns:android="http://schemas.android.com/apk/res/android"
    android:shareInterpolator="true">
    <translate  android:fromXDelta="-100%" 
                android:toXDelta="0%" 
                android:fromYDelta="0%"
                android:toYDelta="0%" 
                android:duration="600" 
                android:zAdjustment="bottom" 
                />
</set>
main.xml:
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:id="@+id/llayout"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent"
    android:orientation="vertical" >
<FrameLayout 
            android:id="@+id/frame"
            android:layout_width="fill_parent"
            android:layout_height="wrap_content"
            android:layout_weight="1"
            android:visibility="invisible"
    >
        <WebView
            android:id="@+id/webview"
            android:layout_width="fill_parent"
            android:layout_height="wrap_content"
            android:layout_weight="1"/>
</FrameLayout>
    <View
        android:layout_width="fill_parent"
        android:layout_height="80dp"
        android:background="#FF000000" />
    <LinearLayout
        android:layout_width="fill_parent"
        android:layout_height="80dp"
        android:orientation="horizontal" >
        <Button
            android:id="@+id/buttonsl"
            android:layout_width="wrap_content"
            android:layout_height="fill_parent"
            android:text="show L" />
        <Button
            android:id="@+id/buttonhl"
            android:layout_width="wrap_content"
            android:layout_height="fill_parent"
            android:text="hide L" />
        <Button
            android:id="@+id/buttonsr"
            android:layout_width="wrap_content"
            android:layout_height="fill_parent"
            android:text="show R" />
        <Button
            android:id="@+id/buttonhr"
            android:layout_width="wrap_content"
            android:layout_height="fill_parent"
            android:text="hide R" />
        <Button
            android:id="@+id/accel"
            android:layout_width="wrap_content"
            android:layout_height="fill_parent"
            android:text="NONE" />
    </LinearLayout>
</LinearLayout>
manifest:
<uses-sdk android:minSdkVersion="14" />
<uses-permission android:name="android.permission.INTERNET" />
Well, if you are trying to support ICS and onward, you can use the new Animation APIs as they are much easier to use and I believe will be very smooth.
Here are two links to take a look into this API:
this and this
And if you want to use this API for older versions, try NineOldAndroids
Edit: Try setting the WebView's  Layer to a Software one:
    web.setLayerType(View.LAYER_TYPE_SOFTWARE, null);
It stopped the flickering but you lose hardware acceleration inside the view. I am not sure but I guess that for stuff like animation the view would still be considered as having hardware acceleration since its "container" still does. But I could be completely wrong too.
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