The Android equivalent to Settings.bundle is called Preferences. The preferences configuration files must be created in the project folders, platform/android/res/xml/preferences.xml and platform/android/res/values/array/array.xml.

array.xml

<?xml version="1.0" encoding="utf-8"?>
<resources>
  <string-array name="listNames">
    <item>5 Minutes</item>
    <item>10 Minutes</item>
    <item>15 Minutes</item>
    <item>30 Minutes</item>
    <item>60 Minutes</item>
  </string-array>
  <string-array name="listValues">
    <item>5</item>
    <item>10</item>
    <item>15</item>
    <item>30</item>
    <item>60</item>
  </string-array>
</resources>

preferences.xml

<?xml version="1.0" encoding="utf-8"?>
<PreferenceScreen xmlns:android="http://schemas.android.com/apk/res/android"
    android:title="Preferences">
  <PreferenceScreen
      android:title="Misc. Preferences"
      android:summary="Click to see more options">
    <EditTextPreference
      android:title="Edit Text Preference"
      android:summary="You may enter a string"
      android:defaultValue=""
      android:key="editText" />
  </PreferenceScreen>
  <PreferenceCategory android:title="Category One">
    <CheckBoxPreference
      android:title="CheckBox Preference"
      android:defaultValue="false"
      android:summary="You may enter a boolean"
      android:key="checkbox" />
    <RingtonePreference
      android:title="Ringtone Preference"
      android:summary="You may pick a ringtone"
      android:defaultValue=""
      android:key="ringtone" />
  </PreferenceCategory>
  <PreferenceCategory android:title="Category Two">
    <ListPreference
      android:title="List Preference"
      android:summary="You may chose from multiple choices"
      android:key="list" 
    android:entries="@array/listNames"
    android:entryValues="@array/listValues" 
    />
  </PreferenceCategory>
</PreferenceScreen>

Refer to the Android docs for available setting properties: http://developer.android.com/guide/topics/ui/settings.html.

Once defined, you can use invoke the Settings window from your app using the openPreferences function: http://docs.appcelerator.com/platform/latest/#!/api/Titanium.UI.Android-method-openPreferences