Moodle might be a bit more popular than Peergrade. We know about 1 link to it since March 2021 and only 1 link to Peergrade. We are tracking product recommendations and mentions on various public social media platforms and blogs. They can help you identify which product is more popular and what people think of it.
Lots of different companies pushing these: eduflow.com, peergrade.io, peerstudio.org, peerassessment.com, peerceptiv.com, feedbackfruits.com, and there must be others that didn't show up in my initial search :). Source: almost 2 years ago
Moodle can handle this but it might be overkill for your requirements. Once you have it setup though the quiz feature is really great, and the analytics it provides are awesome. Source: about 1 year ago
Google Classroom - Learning management tool by Google
Adobe Captivate Prime LMS - Adobe Captivate Prime LMS is easy to setup and helps in delivering engaging learning experiences in a personalized manner across devices.
Wisetail - Awesome learning management system
Geocities Site Builder - Share your abomination with the world
Microsoft Teams for EDU - New tools improving learning for all students
Collaborator - Система дистанційного навчання повного циклу із аналітикою в реальному часі та інструментами внутрішнього маркетингу.