The Dolphin is a classic aussie pub redone for the 21st century on Crown St in Surry Hill and has a wine room that is noteworthy. Though lots of non-Australian wines, but all good. Tasting at wine shops is more for selling the stuff
https://www.timeout.com/sydney/bars/...phin-wine-room
A bit further afield in Neutral Bay is Firefly which is more Australian wine oriented and has well chosen by the glass selection.
https://fireflybar.com.au/