With the release of the Commander Lilith DLC, there is now an option to immediately create a level 30 character that has completed all of the story missions except for the last one. You don't get trophy pops until you either play through the story missions on New Game+ or with a different character. They wanted people who had never played Borderlands 2 to be able to jump in and play the Commander Lilith DLC in preparation for the Borderlands 3 release.
For anyone curious how to do this, press triangle on the main menu to select a different character. You'll see the options to create a level 30 character there.