Currently using Assura, completely flexible system that can essentially manage any workplace process whether its H&S related or not. https://www.assurasoftware.com/
Late to your reply Alana. We are now launching it after trialing it during these covid years. must say it is a very simple system, compared to all the fancy ones out there. it speaks WorkSafe's language and that is what we wanted, also it has already a built Contractor Management System, so it is a one-stop shop, Contractors come into the store scan in with a QR Code to sign in, and do an online induction online and Bob's your uncle. They can also report incidents online. Checklists and meetings can be done online, so you have a complete online Safety Management System. Online learning blocks, you name it, it's there. Our Clever First Aid kits is also integrated and connected so every first aid incident will be automatically connected with HSE and then the person who had the incident needs to complete the log, the manager must review the incident and close the loop with photos, videos, docs, etc. Statistical data can be downloaded from all files for your monthly reports. HSE is for small, medium and large enterprises.
Been using SiteAppPro, it's NZ based and covers all aspects of health & safety. you can apply for a free demo at their site. Their customer service is awesome too.
here is a mix of different EHS Systems, https://www.lucidity.io/, https://www.evotix.com/, https://www.ecoportal.com/environmental-management-software, https://www.healthsafe.co.nz/, https://www.donesafe.com/