It has this season's matches...
In the Android App (no idea for the IOS app)
Select 'News & Video' from the bottom panel.
Select 'Forest TV' from the top panel
in the search bar - search for 'in full'
this lists all this season's games in full
You Are absolutely right - it’s not exactly intuitive though (I blame the colour scheme, though it might be my eyesight!)
For those on iOS:
Click on „Forest TV“ right at the top of the Screen, then in the menu-bar along the top, go to „Full Match Replays“, (it’s over at the end) and there they are!
Although there doesn’t seem to be an option for „full screen“ that I can find, they’re in a window in the app, which is a bit poor.
Only 720p as well, which is graining on the eyes if you have an HD device like a large iPad.
Oh well. First world problems.