I had the same problem intill I set the time right. If its wrong the security wont allow it to run.
Fixed mine. Is your time set right? I set mine back to glitch mcfee but it made the sign in page security info "Out of date".
I have this on both of my windows 10 laptops and cant log in to play any more but im using 2.0.895
I try reinstalling minecraft, java, and checked my video drivers an
d mcafee firewall is off.
I had the same problem since the launcher last updated. launcher version 2.0.895
Update: This happens for both of my windows 10 laptops. I thought the severs were down but this has been going on for three days now.
I found my cure, I set my laptop clock right and it works now.