FULL PRODUCT VERSION :
Microsoft Windows [Version 6.3.9600]
(c) 2013 Microsoft Corporation. All rights reserved.

C:\Users\Jon>java -version
java version "1.8.0_31"
Java(TM) SE Runtime Environment (build 1.8.0_31-b13)
Java HotSpot(TM) 64-Bit Server VM (build 25.31-b07, mixed mode)

C:\Users\Jon>

ADDITIONAL OS VERSION INFORMATION :
Microsoft Windows [Version 6.3.9600]
(c) 2013 Microsoft Corporation. All rights reserved.

C:\Users\Jon>java -version
java version "1.8.0_31"
Java(TM) SE Runtime Environment (build 1.8.0_31-b13)
Java HotSpot(TM) 64-Bit Server VM (build 25.31-b07, mixed mode)



EXTRA RELEVANT SYSTEM CONFIGURATION :
Android Studio 1.0.2


A DESCRIPTION OF THE PROBLEM :
Singleton pattern does not appear to be possible to implement, in Android Studio, and, although this might be a restriction with the software, perhaps one can think of a workaround to make the life easier for Java developers.

REGRESSION. Last worked in version 8u31


REPRODUCIBILITY :
This bug can be reproduced always.

---------- BEGIN SOURCE ----------
package com.example.jon.myapplication;

import android.database.sqlite.SQLiteDatabase;
import android.database.sqlite.SQLiteOpenHelper;

/**
 * Created by Jon on 16/02/2015.
 */
public class SQLiteHelper extends SQLiteOpenHelper {

   public SQLiteHelper getInstance()
    {
        if (instance !=null ) {instance = new SQLiteHelper();}
    }
    @Override
    public String getDatabaseName()
    {
        return(super.getDatabaseName());
    }

    @Override
    public SQLiteDatabase getReadableDatabase()
    {
        db = super.getReadableDatabase();
        return db;
    }

    @Override
    public SQLiteDatabase getWritableDatabase()
    {
        db = super.getWritableDatabase();
        return db;
    }

    @Override
    public void onConfigure (SQLiteDatabase db)
    {
        //TODO write event handling code
    }

    @Override
    public void onCreate (SQLiteDatabase db)
    {
        //TODO write event handling code
    }

    public void onDowngrade (SQLiteDatabase db)
   {
       //TODO write event handling code
   }

    @Override
    public void onOpen (SQLiteDatabase db)
    {
        //TODO write event handling code
    }

    public void onUpgrade (SQLiteDatabase db, int oldVersion, int NewVersion)
    {
        //TODO add logic for this as there is some studying to do :(
            /* if (newVersion > oldVersion) {
            db.execSQL(" IF NOT EXISTS CREATE TABLE version-control ADD COLUMN field1 TEXT," +
                    "ADD COLUMN field2 TEXT," +
                    "ADD COLUMN field3 TEXT," +
                    "ADD COLUMN field4 TEXT");
            Sourced from an online article at http://stackoverflow.com/questions/26076139/android-sqlite-onupgrade-create-new-table */
            //TODO revise event handling code
    }

    public void setWriteAheadLoggingEnabled (boolean WALIsEnabled)
    {
        this.WALIsEnabled = WALIsEnabled;
    }

    private SQLiteDatabase db;
    private boolean WALIsEnabled = true;
    private SQLiteHelder instance;
}

---------- END SOURCE ----------

CUSTOMER SUBMITTED WORKAROUND :
None available to date
I also reported this issue at https://code.google.com/p/android/issue.