It should be possible to synchronize Outlook with Apple Contacts, including iCloud contacts and to import Mails and folders from Apple Mail.

When I see I have new email, I open the app. However, my new mails aren't there. I need to wait for a sync. I don't see this latency with the rtm app.

Amazon Cloud, LiveDrive, Adobe Creative,Mega Cloud, DS Cloud, Egnyte, Sharefile, Sharesync, WD Cloud, OwnCloud, WebDAV, Yandex, Sugarsync, SOONR, Teamwork Projects, Sync.com, Baidu cloud etc..

Color, fonts, font size, bold, italic, ... for composing and replying.

Strikethrough font

Create, Edit and Delete Folders.
Auto-collapse folders in the side bar when the list is too long.
Arrange order of folders

Provide Contact pictures from exchange account, similar to outlook for desktop.

Date selection for OOO should be their in Automatic replies setting.

Ability to perform an advanced search on emails with frequently used parameters like :
- From
- Date Range
- subject line
- by folder
- with attachment
- me as recipient: to or cc

I get many meetings requests ,however when i answer yes,it goes to the outlook calendar, not ios calendar ,which is not very good for me

Being able to block a contact from emailing you instead of it just going to junk.

View emails in full screen
Hide side panel (folder/email list)

It would be great to have my notes in my Exchange account can sync with my Outlook.

Schedule emails to be delivered at future/specific date & time

1) Allow for categorizing email in Outlook on iOS.
2) Show categories assigned in desktop client.
3) Allow sorting by category in Outlook on iOS.

Search calendar for particular entry

If you do a search you have very limited group actions on the results unlike u searched items. There is no press and hold for multi select, no swipe actions either. I would like to search by say sender and then action, move folder delete etc.
Swiping left/right through the emails as well would be helpful.

It would sure be nice to have the option to change the sort order in which the emails appear within the threads. I, for example, would like the most recent email to show up at the top of the list. Currently the most recent email is showing at the bottom.