Same issue intermittently since Win10 Creators Update. Happens to my PC when Task Manager is open at the same time as a browser.
Chrome and Firefox are affected (... but not Edge?). Task Manager stops responding. Mouse responses lag by several seconds. ditto keyboard. CPU and memory to spare as far as I can tell.
Only happens when browser is open. Disabling Chrome extensions and setting Chrome not to run extensions in background doesn't cure the problem. Problem doesn't arise with 3rd party Task Manager alternative (System Explorer).
If left open long enough in unresponsive state, Task Manager eventually starts responding, and mouse control returns. In my case, the issue then went away for a few weeks until today, when I had reason to reinstall Chrome from scratch. Now it's back.
Uninstalled Chrome and switched to existing Firefox browser. Same deal.
Tomorrow I'll try the wait and see approach with Firefox and report back.
My PC is Dell Inspiron, AMD Phenom II 2600 Mhz with 8 GB of RAM. Also runs Webroot AV.
Update - 2 hours later. Confirmed that issue is triggered by having Firefox and TM open at same time. All it takes is 2-3 clicks on TM (e.g. switching tab or from programme-name to CPU column) to cause TM to stop responding, then mouse/keyboard responses to lag until PC becomes uncontrollable.
Lag makes closing Firefox almost impossible but when I eventually succeeded in doing so, TM started responding again and HID control returned immediately.
TM does not break PC when Edge is open.
For the time being I've disabled TM via the group policy editor and will use a 3rd party utility that doesn't conflict with Firefox/Chrome.