S. 181 permits the Owners Corporation to access the records. So this can be authorised by the Secretary, or else as a member of the Strata Committee you could make an agenda item for the next SC meeting, along the lines of authorising members of the SC to inspect the records under S.181, and making sure this is minuted. Check the minutes of that meeting, since the Agent prepares the minutes, and may ‘accidentally miss’ including this item in the minutes!
Or else, as a Lot owner you can inspect under S.182, and pay the fee of $31. Officially, there is a form to fill in too, and the need to organise a time, which you may need to do if you Strata Agent is a stickler for the rules. But normally if you pop into the Agent’s premises, and hand over $31, they will normally give you access straight away. You need to copy the records, so either take a pen and paper, or else use your mobile phone to photograph the email addresses you are interested in.