What I did to get NOVA 3 and MC3 on it without a PC:
--On my previous phone (Galaxy S II)
1) Purchase and install the game(s) from the Play Store (did not start them up)
2) Use Astro File Manager (free, needs root), Backup Apps, tick any you want to transfer
3) Opened Dropbox, Upload, internal sd -> backups -> apps -> upload the APKs
--On the Galaxy S III
4) Open Dropbox
5) Go to wherever you put the APKs, press the arrow on the right of each for more options, press the three dots, Export. Remember where you've chosen to export them.
6) Open My Files app, go to where you exported the APKs, select each and install!
DONE.
Only annoying thing is I keep accidentally pressing the menu button with the edge of my palm when playing games in landscape on the GSIII...bit annoying.