The SharedPreferences class allows you to save preferences specific to an android Application.
API version 11 introduced methods putStringSet and getStringSet which allows the developer to store a list of string values and retrieve a list of string values, respectively.
An example of storing an array of strings using SharedPreferences can be done like so:
// Get the current list.
SharedPreferences settings = this.getSharedPreferences("YourActivityPreferences", Context.MODE_PRIVATE);
SharedPreferences.Editor editor = settings.edit();
Set<String> myStrings = settings.getStringSet("myStrings", new HashSet<String>());
// Add the new value.
myStrings.add("Another string");
// Save the list.
editor.putStringSet("myStrings", myStrings);
editor.commit();
This method comes in handy when implementing a simple list of highscores that stores the last x number of scores.