This Seeking Tech guide will explain how you can redownload your previously deleted videogames on the PS4.
1. From the home screen menu, move all the way to the right and then select Library.
2. From the Library screen, select Purchased on the left side menu.
3. You should now see a list of games you owned but don’t have installed on your console.
Some of these may be locked behind a PlayStation Plus if you aren’t an active member. Others PlayStation Plus titles may have been removed from the Game and Classic catalogs.
4. To re-download a game, select it from the Not Installed menu and then select the Download option from its product page.