I wanted to start this list, because it seems like there are more than a few other popular plugins that we all use that are breaking Yoast's SEO or vice versa.
I get the blank screen issue every time I install and activate the following plugins on my site. Here is the image of how Yaost's SEO page looks like after installations of the below mentioned plugins.
In addition to blank screens, I also noticed, the following out of memory error appearing on Yoast SEO (only on this plugin) admin pages (bottom right hand corners) after installing the below mentioned other plugins.
"Fatal error: Out of memory (allocated 29884416) (tried to allocate 77824 bytes) in /homepages/44/d98966863/htdocs/wordpress/wp-includes/class-simplepie.php on line 15206"
Here is my list of the apps that creates the above mentioned issues. I am sure there are others, but at the moment these are the ones I tested against. Please add yours to this list if you are aware of any other conflicts.
WP Super Cache
Broken Link Checker