Test for bugs. Sometimes while just playing I'll notice a bug (sometimes game breaking) and I say to myself that I should totally try to recreate it so I can report it to riot. But then I remember I need to get someone else usually to help me, enter a custom game, and spend a long time buying items and what not to try to recreate it.
An example, awhile back I lost a ranked game that my team was winning. We had both a quinn and a Yorick in the game. Team fight broke out, quinn was in bird form and died, came back thanks to Yorick's ult, and proceeded to time out til her death after the fight.
When she repawned, she was permanently stuck in bird form. She had movespeed like she was still quinn and not Valor, her passive didn't work, and she couldn't use her ult again.
I would love a sandbox mode to be able to more easily recreate that scenario so I can record it and show it to riot so they can fix it.