@walk_sydney It's very radial.
Personal bias here but a key 'inner orbital' would roughly parallel the 370 bus route - which is popular enough to have <10min service all day: Annandale - Camperdown - Sydney Park - Green Square - UNSW - Coogee.
And/or a further south C4-C5 connection, which would mostly entail replacing the Gardeners Rd 'shared path' (footpath) with a real bike lane.
Oh and the (apparently underway) Sutherland-Cronulla link has potential IMO.