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.
UPDATE: You can get some with seasons now. But that is only 3 for each of 4 stages (so 12) over a 77 day period. About 1 a week so about the same rate as the weekly challenges. For me, in the F2P era we are now in, the quickest way to get items is Tournaments. Build up your Tournament Credits by playing in Tournaments (obvious, right?) via PLAY then TOURNAMENTS then the SCHEDULE tab. The further you get the more credits. Best 3 results that week means even more credits. Buy items from the REWARDS tab. It is a random item but if you don't care what you receive then it doesn't matter. As specified in the comments, you can trade to increase the number of items ever owned but only if you either played before F2P or you have bought credits.
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 .
200 seems like it will take a while.
I haven't even got this yet: