BSOD randomly browsing internet; ntoskrnl.exe

I don't see any program that is known for causing bluescreens.

Unfortunately, because W10 is still quite new, there could be a lot of causes on a system

You can always try a clean install if you'd like
Windows 10 - Clean Install - Windows 10 Forums

By the way, did you try safe mode?

I'd like you to try to replicate the crash in safemode, it makes it easier to find out if the problem is hardware related.
Safe Mode - Start Windows 10 in - Windows 10 Forums

This is from post 83

Between the last 3 bluescreens, there is some patern in the event logs.
First, there is a problem with a service from PLAY ONLINE.

Code:

Event[1585]:
  Log Name: System
  Source: Service Control Manager
  Date: 2015-12-17T20:54:57.832
  Event ID: 7001
  Task: N/A
  Level: Error
  Opcode: N/A
  Keyword: Classic
  User: N/A
  User Name: N/A
  Computer: Kaiketsu
  Description: 
The NetTcpActivator service depends on the NetTcpPortSharing service which failed to start because of the following error: 
The service cannot be started, either because it is disabled or because it has no enabled devices associated with it.

Event[1586]:
  Log Name: System
  Source: Service Control Manager
  Date: 2015-12-17T20:54:58.824
  Event ID: 7009
  Task: N/A
  Level: Error
  Opcode: N/A
  Keyword: Classic
  User: N/A
  User Name: N/A
  Computer: Kaiketsu
  Description: 
A timeout was reached (30000 milliseconds) while waiting for the PLAY ONLINE. RunOuc service to connect.

Event[1587]:
  Log Name: System
  Source: Service Control Manager
  Date: 2015-12-17T20:54:58.824
  Event ID: 7000
  Task: N/A
  Level: Error
  Opcode: N/A
  Keyword: Classic
  User: N/A
  User Name: N/A
  Computer: Kaiketsu
  Description: 
The PLAY ONLINE. RunOuc service failed to start due to the following error: 
The service did not respond to the start or control request in a timely fashion.

Second, there are many task schedule errors for Windows Media Center and Microsoft AntiMalware.
This may sound odd, but errors in the task scheduler sometimes causes problems.

Code:

Event[1635]:
  Log Name: System
  Source: Microsoft-Windows-TaskScheduler
  Date: 2015-12-17T21:07:07.331
  Event ID: 414
  Task: Task Misconfiguration
  Level: Warning
  Opcode: Info
  Keyword: N/A
  User: S-1-5-18
  User Name: NT AUTHORITY\SYSTEM
  Computer: Kaiketsu
  Description: 
Task Scheduler service found a misconfiguration in the NT TASK\Microsoft\Windows\Media Center\mcupdate_scheduled definition. Additional Data: Error Value: %SystemRoot%\ehome\mcupdate.

Event[1636]:
  Log Name: System
  Source: Microsoft-Windows-TaskScheduler
  Date: 2015-12-17T21:07:07.332
  Event ID: 414
  Task: Task Misconfiguration
  Level: Warning
  Opcode: Info
  Keyword: N/A
  User: S-1-5-18
  User Name: NT AUTHORITY\SYSTEM
  Computer: Kaiketsu
  Description: 
Task Scheduler service found a misconfiguration in the NT TASK\Microsoft\Microsoft Antimalware\Microsoft Antimalware Scheduled Scan definition. Additional Data: Error Value: C:\Program Files\Microsoft Security Client\MpCmdRun.exe.

Regarding the crashes, 1 of them is NETIO.sys meaning Network Input/Output System.
I'm not sure what you can do with the scheduled tasks, but you might want to take a look at it.

Are there more details present of the tasks?
I'd like to focus on the AntiMalware task first.

I'd like to see the data from the task 'Microsoft A...' too :)