Mobile AIR - FileReference browse() & .zip

It is not so easy... You have to actualy make your own view for viewing and selecting files on the sd card. You can do this easily by passing objects between views. Try this for a start (works on my android phone):

<?xml version="1.0" encoding="utf-8"?>
<s:View xmlns:fx="http://ns.adobe.com/mxml/2009" 
                    xmlns:s="library://ns.adobe.com/flex/spark"
                    title="Browse"
                    creationComplete="init();">
          <fx:Script>
                    <![CDATA[
                              import mx.collections.ArrayCollection;
  
                              [Bindable] private var currentDirectory:File;
                              [Bindable] private var files:ArrayCollection;
  
                              private var returnObject:Vector.<File>;
  
                              override public function createReturnObject():Object{ 
                                        return returnObject;
                              }
  
                              private function init():void{ 
                                        changeDir( File.desktopDirectory );
                              }
  
                              private function changeDir(file:File):void{
                                        if(file.isDirectory){
                                                  var parent:File = file.parent;
  
                                                  currentDirectory = file;
  
                                                  files = new ArrayCollection( currentDirectory.getDirectoryListing().sort(fileSort) );
                                        }
                              }
  
                              private function fileSort(file1:File, file2:File):int{
                                        if(file1.isDirectory && !file2.isDirectory)
                                                  return -1;
                                        else if(!file1.isDirectory && file2.isDirectory)
                                                  return 1; 
                                        else
                                                  return file1.name.localeCompare( file2.name );
                              }
  
                              private function doubleClick():void{
                                        if(fileList.selectedItem == null)
                                                  return;
  
                                        var selectedFile:File = fileList.selectedItem;
  
                                        if(selectedFile.isDirectory)
                                                  changeDir(selectedFile);
                                        else{ 
                                                  returnObject = new <File>[ selectedFile ];
  
                                                  navigator.popView();
                                        }
                              }
  
                              private function up():void{
                                        changeDir( currentDirectory.parent );
                              }
                    ]]>
          </fx:Script>
  
          <s:VGroup width="100%"
                                height="100%">
                    <s:Button label="Up"
                                          click="up();"
                                          width="100%"
                                          enabled="{currentDirectory.parent != null}"/>
  
                    <s:List id="fileList"
                                        width="100%"
                                        height="100%"
                                        dataProvider="{files}"
                                        doubleClick="doubleClick();"
                                        doubleClickEnabled="true"
                                        labelField="name">
                    </s:List>
          </s:VGroup>
</s:View>