First thing I would do is engage with the workshop manager / department manager and gain some knowledge from them i.e. manufacturer of equipment / or at least the servicing providers as they can be a big help in providing relevent documentation. Training records for the operators of equipment - perhaps refresher training is an option to ensure competence of operator ((this coupled with knowledge and their obvious experience). Service / maintenance records for the equipment. Do they have required safety devices installed, are these working and are they checked periodically to ensure they remain in a servicable state. Are there hazardous moving parts exposed / are machine guards in place? This is just a starter of course.

Would it be worth engaging with your line manager in relation to your potential development within your safety role and suggest you enroll on a specific PUWER training course?

You need to look at what is considered acceptable against the current product standards (c-type) for the equipment and then do a gap analysis really on where you are against what is considered acceptable.

If there are no c-types, then you will need to go to the b-type, and some relevant stadnards are only b-type anyway, e.g. BS EN 60204-1 for the electrical systems. (Note BS 7671 stops at the machine isolator).

This can be in the form of a risk assessment as is now, and as would be if the equipment is brought up to current safety levels, and this will then give you a priority for any work required.