I think there may be some confusion in this thread regarding the following:
1) There are Live Mail accounts (@Live.com) which you can access via Outlook.com in a web browser and there is a Live Mail client for the local PC (part of Micr0soft Live Essentials 2012). These are two separate things. It is the Live Mail local client that will no longer sync to Microsoft email servers as of the end of June.
2) IE, Chrome, FireFox, etc., are just web browsers and, as such, are not email applications. You may be accessing web-based email accounts via a web browser, but the browsers are not email clients as such.
3) Yes - it s__ks that Microsoft is depriving us of one of the best little free email/calendar/contacts clients for the local PC running Windows. Search for reviews and read up on the other free email clients available - they're out there. Unfortunately, many of them do not handle all three of the functions I consider necessary. My wife and I both run Windows 10 on our laptops and I've just converted us to the built-in mail, calendar, and contacts apps that are part of Windows 10. There is some change to get used to, but they will continue to sync with the Microsoft email servers and we can work off-line when necessary and not have to access web-mail through a browser. (We both also use Chrome for everything - IE has fallen behind the times...)
4) Finally, you can purchase Outlook Personal Edition for $99 or so - but that's $99 I'd rather not spend.
Rob