Ответ из другого сообщения:
CharSequence colors[] = new CharSequence[] {"red", "green", "blue", "black"};
AlertDialog.Builder builder = new AlertDialog.Builder(this);
builder.setTitle("Pick a color");
builder.setItems(colors, new DialogInterface.OnClickListener() {
@Override
public void onClick(DialogInterface dialog, int which) {
// the user clicked on colors[which]
}
});
builder.show();