Inflation - prices, wages, transfers should all be increasing year on year.
Rehab - every once in a while you should have a player whose form goes to ****, then he comes to you and says he's got a cocaine/alcohol problem then you have to let him go to rehab for 6 months and you have the option to lie to the press and say its a back injury. If you lie for him he comes back better if you don't he falls off the wagon.
Other creative anomalies - there should be more one off events available that are really shocking like real life; career ending injuries, player feuds not just manager feuds (think viera vs keane) and team fueds. YOur own players fighting each other on the pitch (bowyer dyer). Marital problems causing transfer requests (Thierry henry). Big money from China tempting players. Bigger backlashes from fans for players signing for rivals, and when that player get the ball in game the crowd BOOOS. Players who dive should get called out in the press. As a manager you should also be able to go apeshit and get a touchline ban in game. The option to try and strike another manager should also be included, and sometimes you'll get fired for it, sometimes the fans will have your back.
There you SI, plenty of good ideas, the main one being inflation. But also please include more creative anomalies <- they make the game more interesting and surprising