Remember back when the CyanogenMod team discovered the code for heads up notifications hidden deep in Android KitKat, and everyone wanted to play with them? Now that it's been standardized in Lollipop, apparently at least some people aren't so keen on them. We've featured HeadsOff before in our app roundup: it's a neat little app that disables heads up notifications in Android 5.0 or later, and does it even without root permissions.
But wait, as the showman says, there's more! The 2.0 update released today also enables ticker text in the notification bar with the $2 pro version upgrade. Ticker text is what you see when a new notification arrives and the first few lines of a message appear in the notification bar. If you want access to that function for all notifications in Lollipop, here's the ProKey - it's a separate app, so you can try it out and return it if you don't like the result.
The pro version of HeadsOff allows you to enable and disable heads up notifications on an app-by-app basis, so if any one app is being particularly annoying you can disable it alone. A checkmark in the app menu means that the heads up notifications are disabled, and there's an all or none function as well.