I honestly wouldn't know where to start with filing useful bug reports. I'm a software developer myself, so I appreciate the need for useful information and ideally reproducible test cases, but at the moment we're seeing graphical glitches in everything from menu displays to dialogs to the tabs for different sheets, far too many different areas to isolate and investigate each one. It seems more likely that some combination of hardware/software isn't playing nicely on the test system, since presumably if everyone were seeing what we are the LO team would be seeing plenty of feedback already. If you'd like to investigate or try to triage it somehow, I can ask someone to get in touch by mail, and maybe that would lead to something specific enough to be worth putting in a bug report for more detailed investigation?
chris.sherlock79 at gmail.com is my email address, or hop onto #libreoffice-dev on Freenode and ask to speak to chris_wot (that's the IRC channel I hang out on the most frequently).
Try turning off OpenGL:
You can do this by going to to Tools ▸ Options ▸ LibreOffice ▸ View.
P.S. I'm biased about LibreOffice as I have commit access and I'm working on the code at the moment. I do acknowledge its frustrating when things don't work, and I don't want to deny there are issues preventing you from adopting.
If it's not too much bother, can you file a bug?
https://bugs.documentfoundation.org/enter_bug.cgi