Exclamation Screen went dead, everything else works including touch. how can I extract the apps?

Had a little accident at home yesterday, my HTC one dropped face down and caused the screen to go dark.
The glass is fine, cosmetically it had no damage. The screen only displays a thin line on the side now.

I still have controls and touch, all buttons work and the phone still functions. I just can't see what I am doing on the phone.
I was never prepared for a disaster like this

Already went and bought a new M8 HTC One, now I am struggling to find a solution to transfer my files over. especially my WeChat/Whatsapp/Viber apps, i have a lot of conversations in those that need to be saved.

Any suggestions on how I can extract the apps and other files?

The old broken M7 was rooted / custom recovery / no password lockscreen

New M8 is brand new Verizon not rooted yet


Any help is greatly appreciated!