TYPO3 Core

Good idea, I would suggest:

• Notification after login that a new version is available.
• Possibility to download the latest version via backend (by get.typo3.org)
• After downloading redirect to the Install Tool

• Notification after login that a new version is available with the suggestion to inform an admin.

What about:
- options: update notification only / auto-update bugfix releases

If it's a new bugfix release the task could try to download the new core, unpack, switch symlinks and clear caches (for windows servers we could see if there is something possible with mklink and otherwise only support notifications).

This requires that bugfix releases do not need any user action like compare database or upgrade wizards, or that we must be able to set a flag for such a requirement somewhere. Maybe there is such a possibility to use with get.typo3.org/json

Another thing to consider is what should be done with the old source directory (leave one old version, compress it, ...)

I would not auto-update without notice to anyone, even if it's "only" a bugfix release.
We must give the admin the possibility to update easily.