As specified by A Batwoman
in the comments of another guide, items are now attained through challenges.
Challenges are accessible via
when in the main menu. Once you have completed a challenge you need to go and manually claim it. Unsurprisingly, these are claimed by selecting the Claim button.
Strangely, the challenges interface is a little weird and even is a bit glitchy. Sometimes in some menus you can't select individual challenges. If that happens then back out one level and go in again. Also note, on the first page you need to go down to the challenges using