Here are the new elements on Cortana's default opening page:
A tip for a voice command you can ask Cortana
A shortcut to see the entire list of tips for Cortana interactions broken down by category
Apps Search
System Settings Search
Document Search
Web Search
What's new for you opens your normal news items that used to appear by default
Cortana Settings which used to be listed under Reminders
There is even a variation of the new Cortana opening page that only lists three filter shortcuts and provides a text label underneath them.
It appears at random times for my different systems running Build 14361.
Your Cortana news feed - now has to be opened manually.
Tips categories:
Phone
Messaging
Calendar
Reminder
Alarm
Email
Music
Places
Facts
Tracking
Sports
Finance
Weather
News
Your options may differ if certain services are unavailable on a device.
At the very bottom of the category listing of Cortana tips there is a link labeled Show my Cortana-powered apps that will display this page with tips for your installed apps that support Cortana.
Cortana app search page.
Cortana settings search page.
Cortana documents search page.
Cortana web search page.
Cortana search page with all the search categories available. Although this is not new it is handy to see the categories you can use to filter your search.
From left to right:
Apps
Settings
Documents
Folders
Photos
Videos
Music
Email
Calendar
People
Web
Yes, even Cortana on Windows 10 Mobile is showing some of these changes.