I agree with some team history. I like the old version to check the team win-draw-loss all time record, the goals... there's nothing like this in new version, and this is an opportunity to improve on the old version.

As Niko said, the new trophy room doesn't give a full picture of team history, and the achievement page is easy to "complete and forget". We've had suggestions for a museum, honoring star players or big victories. Fake social media reporting on veteran and retired players; options to throw parades; Whatever the case, something more to connect emotionally with the "team legacy".

Improve efficiency of repeated training and friends support - I don't think an option to support all friends while you're online makes sense (I'll leave a browser tab open, invite 1000 friends via FB, and every team will be supported 24/7... people will complain). But certainly it can be more efficient than the large amount of loading and screen changes out takes to support via fixtures when multiple friends are playing simultaneously.

I find the new auction market easy to sort, is small enough that I don't think options to limit by stars or position etc is necessary as Niko suggested. Just adds clutter.