How to find uninstalled Android apps and games and reinstall them
The complete list of uninstalled and installed apps and games can be accessed from Google Play (as long as you're logged in). Open the Google Play app on your Android phone or tablet, and tap on the menu button (the three lines that show up in the upper left corner). When the menu is revealed, tap on "My apps & games." Next, tap on the "All" button, and that's it: you'll be able to check all your apps & games, both uninstalled, and installed.
Taping on an uninstalled app leads you to its Google Play page, from where you can reinstall it. If you no longer want an uninstalled app to be on the list, you can easily remove it by taping on the X that you can see in its upper right corner.
P.S.: This tutorial was made on a smartphone running stock Android 6.0.1 Marshmallow. Things may look different on your device.