Ryan
I've been thinking about this, and there are a number of notifications I'd love the app to utilise:
HQ upgrade Complete.
Race about to start.
New Mail.
Staff/Driver in your shortlist becomes available.
Drivers are at full health.
Someone posted on the league page.
You win a bid, or are out-bidded on a driver/staff.
I'm sure there are more, but that is all that comes to mind right now.
Auctions that you are in that are about to finish
Maybe a notification on when your race finishes too would be a nice addition, just in case you are too busy to view it live
Also a notification if your driver/drivers either seated or reserved hit full 100% health and can be trained again
just a few extras off the top of my head lol