I am running Windows 10 on two computers and a tablet, the new "Edge" browser seems to be working fine for me. Been running Win 10 since August 1st not had any real issues. They did have a huge update right before Thanksgiving M$ doesn't want to call it a service pack but it did have over 500 fixes all rolled up into one download.
To see if you have the newest updated build. Click on the "start" button in bottom left corner it is a Windows icon now. Then click "Settings", then click the top left icon "System", then in the new window click on the very bottom left option "About" This will display the Systems Properties window, you will see the following info:
Edition: Windows 10 Home (or) Pro
Version: 1511
OS Build: 10586.17
If the OS Build is a smaller number that the above it is the older version and the major update may resolve some of your issues.
Alternately you can switch back to using IE11 instead of the Edge app. Just search for it in the all programs list and set it as default.