I have the same problem, or I should say had I'm still not able to open Skype the normal way (so, by clicking the icon in apps or in lunchpad) but it works through Terminal
So hit cmd + space, type terminal and then paste this
Hit enter and it should work...
Just got this problem happening this morning. I updated skype, booted up Macbook Pro.. still crashing. Then I tried following:
I have external monitor attached and screen is extended.
I changed screen to be duplicated (just hit cmd+F1) to set the same screen to Macbook and external monitor and then started skype. Skype starts! After that you can change the screen back to extended with cmd+F1...
Weird and definitely not intended I guess, but works on my machine.