LimeSurvey before 2.72.4 has Stored XSS by using the Continue Later (aka Resume later) feature to enter an email address, which is mishandled in the admin panel.
LimeSurvey version 3.15.5 contains a Cross-site scripting (XSS) vulnerability in Survey Resource zip upload, resulting in Javascript code execution against LimeSurvey administrators. Fixed in version 3.15.6.
In LimeSurvey 3.14.7, HTML Injection and Stored XSS have been discovered in the appendix via the surveyls_title parameter to /index.php?r=admin/survey/sa/insert.
LimeSurvey version prior to 3.14.4 contains a file upload vulnerability in upload functionality that can result in an attacker gaining code execution via webshell. This attack appear to be exploitable via an authenticated user uploading a zip archive which can contains malicious php files that can be called under certain circumstances. This vulnerability appears to have been fixed in after commit 91d143230eb357260a19c8424b3005deb49a47f7 / version 3.14.4.
LimeSurvey version 3.14.4 and earlier contains a directory traversal in file upload that allows upload of webshell vulnerability in file upload functionality that can result in remote code execution as authenticated user. This attack appear to be exploitable via An authenticated user can upload a specially crafted zip file to get remote code execution. This vulnerability appears to have been fixed in after commit 72a02ebaaf95a80e26127ee7ee2b123cccce05a7 / version 3.14.4.
LimeSurvey version 3.0.0-beta.3+17110 contains a Cross Site Scripting (XSS) vulnerability in Boxes that can result in JS code execution against LimeSurvey admins. This vulnerability appears to have been fixed in 3.6.x.