First of all you should download library here

And then short play with script below
<?xml version="1.0" encoding="utf-8"?>
<mx:WindowedApplication xmlns:mx="http://www.adobe.com/2006/mxml" layout="absolute">

<mx:Script>
  <![CDATA[
    import mx.controls.Alert;
    import nochump.util.zip.ZipEntry;
    import mx.events.ListEvent;
    import nochump.util.zip.ZipFile;
    [Bindable]private var _zipFile:ZipFile;
    [Bindable]private var _file:File;
  
    private function browseFile():void{
     var _file:File = new File();
   _file.browseForOpen("Open.", getTypes());
   _file.addEventListener(Event.SELECT, fileSelected);
    }
    
  private function getTypes():Array {
      var allTypes:Array = new Array(getImageTypeFilter());
      return allTypes;
    }
        
    private function getImageTypeFilter():FileFilter {
      return new FileFilter("ZIP File", "*.zip");
    }
    
    private function setFileInfo(name:String, size:uint):void {
    zipFileLabel.text = "Archive: " + name + " (" + sizeFormatter.format(size) + " bytes)";
  }
        
    private function fileSelected(event:Event):void {
   _file = event.currentTarget as File;
   var urlStream:URLStream = new URLStream();
   urlStream.addEventListener(Event.COMPLETE, completeHandler);
   urlStream.addEventListener(IOErrorEvent.IO_ERROR, errorHandler);
   urlStream.addEventListener(SecurityErrorEvent.SECURITY_ERROR, errorHandler);
   urlStream.load(new URLRequest(_file.nativePath));
  }    

  private function completeHandler(event:Event):void {
   var data:URLStream = URLStream(event.target);
   setFileInfo(_file.name, data.bytesAvailable);
   _zipFile = new ZipFile(data);
  }
   
  private function errorHandler(event:ErrorEvent):void {
   Alert.show(event.text);
  }  
  
  private function itemClickEvent(event:ListEvent):void {
   var entry:ZipEntry = event.currentTarget.selectedItem as ZipEntry;
   if(entry) taEntryData.text = String(_zipFile.getInput(entry));
  }
   
  private function labelSize(item:Object, column:DataGridColumn):String {
   return sizeFormatter.format(item[column.dataField]);
  }
   
  private function labelModified(item:Object, column:DataGridColumn):String {
   return dateFormatter.format(new Date(item.time));
  }
   
  private function labelCrc(item:Object, column:DataGridColumn):String {
   return item.crc.toString(16).toUpperCase();
  }
     
  ]]>
</mx:Script>

<mx:NumberFormatter id="sizeFormatter" useThousandsSeparator="true" />
 <mx:DateFormatter id="dateFormatter" formatString="MM/DD/YYYY L:NN A" />
 
  <mx:Panel title="Zip Demo" height="100%" width="100%">
   <mx:Label id="zipFileLabel" />
  <mx:VDividedBox width="100%" height="100%">
   <mx:DataGrid id="dgEntries" width="100%" height="100%" dataProvider="{_zipFile.entries}" itemClick="itemClickEvent(event);">
    <mx:columns>
     <mx:DataGridColumn headerText="Name" dataField="name" width="300" />
     <mx:DataGridColumn headerText="Size" dataField="size" labelFunction="labelSize"  />
     <mx:DataGridColumn headerText="Packed" dataField="compressedSize" labelFunction="labelSize" />
     <mx:DataGridColumn headerText="Modified" labelFunction="labelModified" width="150" />
     <mx:DataGridColumn headerText="CRC32" labelFunction="labelCrc" />
    </mx:columns>
   </mx:DataGrid>
   <mx:TextArea id="taEntryData" width="100%" height="100%">
         </mx:TextArea>
  </mx:VDividedBox>
  <mx:ControlBar>
   <mx:Spacer width="100%"/>
      <mx:HBox>
        <mx:Form>
          <mx:FormItem label="Open Zip File:" width="100%" styleName="lblForm" required="true">
         <mx:Button id="btnBrowse" label="Browse" click="{browseFile()}"/>
        </mx:FormItem>
        </mx:Form>
      </mx:HBox>   
  </mx:ControlBar>
 </mx:Panel>


  
</mx:WindowedApplication>