You can make an AlertDialog which can be launched from current Activity by creating a Custom Layout for AlertDialog.
MainActivity.java
package com.example.alertlist;
import android.os.Bundle;
import android.app.Activity;
import android.app.AlertDialog;
import android.app.AlertDialog.Builder;
import android.view.LayoutInflater;
import android.view.Menu;
import android.widget.ArrayAdapter;
import android.widget.ListView;
public class MainActivity extends Activity {
AlertDialog al;
ListView lv;
@Override
protected void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.activity_main);
    AlertDialog.Builder b = new AlertDialog.Builder(this);
    LayoutInflater i = getLayoutInflater();
    b.setView(i.inflate(R.layout.alert_list, null));
    al = b.create();
    al.show();
    lv = (ListView) al.findViewById(R.id.listView1);
    String[] myStringArray = {"this", "is", "it"};
    ArrayAdapter adapter = new ArrayAdapter<String>(this, android.R.layout.simple_list_item_1, myStringArray);
    lv.setAdapter(adapter);
}
@Override
public boolean onCreateOptionsMenu(Menu menu) {
    // Inflate the menu; this adds items to the action bar if it is present.
    getMenuInflater().inflate(R.menu.main, menu);
    return true;
}
}
alert_list.xml
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
android:layout_width="match_parent"
android:layout_height="match_parent"
android:orientation="vertical" >
<ListView
    android:id="@+id/listView1"
    android:layout_width="match_parent"
    android:layout_height="wrap_content" >
</ListView>
</LinearLayout>