Usually people search for an APK file using the terms related to that particular app. Here is one tip to help you quickly find an app.
To search for an apk file, knowing the filename is the key. To find out the filename, you can go to appbrain.com and get the description of the app. For example , for app DirecTV, type in “directv” in appbrain.com and get the link about this app – http://www.appbrain.com/app/directv/com.directv.dvrscheduler#. The filename is right there on the URL – com.directv.dvrscheduler. Now you have the keyword “dvrscheduler”. Add this keyword to your search terms and you will find the apk file in no time.