One way I recently discovered if you're looking to have control over the specific Windows 10 automation's and background internet apps would be to use this handy tool. You can find it here: OO ShutUp10: download free antispy tool for Windows 10
It's called O&O Shutup10 and it allows you to use simple slide buttons in a stand alone program to disable pretty much all of Windows background processes, including Windows update, handy if your on a metered connection. If you turn off everything though it will diminish the user experience of Windows 10 as all the handy features it offers will be stopped. Don't worry you can simply turn them back on via the same software.
Also as other have said the simplest way to kill the live tiles is to right click the tile and choose "turn off live tiles", then unpin it from the start menu if you don't plan on using it. Removing the apps themselves is possible, I think CCleaner will allow you to remove them if you insist, but I did that and it damaged the OS and had to run a script command to bring them back to fix it. Some components are required and will break areas of the operating system if they are removed. Such as Cortana, removing that kind of wrecked my start menu.
All you can do is remove them and see what happens if your hell bent on it I guess.
Now if I could just figure out why my Live Tile for the mail app no longer notifies me of new mail messages. Grrr!!
"Removing the apps themselves is possible, I think CCleaner will allow you to remove them if you insist, but I did that and it damaged the OS"
You can remove them but they are regenerated by Windows Update. In CC Cleaner, if you remove some, check back a couple days later, do a sort by install date and you'll see what I mean. They are either re-installed or updated so it's futile to uninstall selected apps. Just don't use them, they take up little space.
The apps I removed were more than 1 GB which is pretty big. Solitaire and the CandyCrush were the worst space hogs (about half).
The apps are not regenerated - only when you upgrade to a new version (or build) of Windows.
I wish people would understand the difference between update and upgrade. It is not that complicated is it?
I could start a post about on here but I don't think that would be very productive. I haven't even researched it on my own yet and failure to do that would be laziness on my part. Perhaps it only updates after the messages have been there a few mins/hours. I usually check the mail immediately when an inbound notification of new mail pops up in the notification area. Next time I'll wait and see if the live tile updates after a few minutes. I'm always exploring the system and its various properties, call me a tinkerer if you like, but its what I like to do when I'm just hanging out with nothing else better to do.
The issue I mentioned in the earlier post was carried out on the upgrade install. That was me trying in vain to make Windows 10 act more like Windows 7 I guess. Hadn't gotten used to it at that time. So its unrelated to my current live tile issue. This install has been running pretty good because it was a fresh install I carried out a week or so after the upgrade. Just couldn't stand all the leftover crap from the Windows 7 install, seemed so messy to me anyway.
"The apps are not regenerated - only when you upgrade to a new version (or build) of Windows."
I defer but I have removed Store apps before. Some like 'Get Office' or 'Get Started' never came back but there was a cumulative update on 1/29 and 2/4 and all the highlighted apps were either updated or reinstalled same dates. Coincidence ?