tldr; read all. fun stuff.
But the most interesting vulnerabilities may be hidden in the code of plugins (NPAPI .dll, .so files) that are sometimes bundled with extensions. These are binary files that run outside of Google Chrome sandboxes. Plugin functions are of course being called from extensions Javascript code. So, through XSS one could exploit e.g. a buffer overflow, use-after-free and, theoretically, hijack OS user account.
The threat isn't theoretical though. I was able to find a chain of vulnerabilities in cr-gpg extension which handles PGP encryption/decryption from within Gmail interface. Funny thing - the exact same vulnerabilities were reported independently by Gynvael Coldwind - great finds, Gynvael! All reported issues below were present in 0.7.4 version and are fixed in >=0.8.2.