Here is a very good app to use to install/re-install applications from phone to phone. It’s called appropriately enough, App List Backup.
It saves a list of your installed applications (Market/Play only. It does not list ‘Non-Market’ applications!) so you can re-download them from the Playstore/Market later (on the same or another device). This way apps will show up in Downloads(PlayStore) and receive updates.
The idea is NOT to physically back up your applications and their settings or to save you from re-downloading apps. For that I use Titanium Backup Pro (root required for Titanium; read my articles on rooting for more information).
This application creates a list that just let’s you VERY easily re-download one or all of your applications.
Great for sharing links of your applications with others. Or duplicating your installed applications on a new phone or one that is ‘reset’; either by wiping or installing new or different ROM version.
Simply download and install the application from the Playstore. Then run it to create a back up list.
Once installed navigate to a list you’ve created and copied over or that someone has given/sent you, and then restore. You can choose which to ‘reload/restore’ individually if you wish too. Now your applications will show up in the Playstore on your phone and you can then install/update them.
Bam dead simple.
Have fun and be safe. Peace