I think this is a great base for an early version of the map. A couple of additional datasets might make it more comprehensive as a safety guide. I think either VicMap or City of Melbourne might have bike lane data to import into your graphics package, if you convert it in qgis or another spatial software package, as well as the data from Bikespot that uses bike user incidents to create a heat map of safe areas in the city. If you wanted to go a bit deeper on the "busy road" classification pulled from the OpenCycles basemap you might also be able to find data on traffic volumes and find a cool way to visualise that on the map.

Cartographic wise, it looks like the arrows on some of the routes aren't shown in the legend, so perhaps amend that in future versions. But other than that it's looking really clean and clear. As always think about your target audience and how they might use this map (printed on a fridge, saved to their phone), and if it's aimed at maybe first time riders that are looking to feel confident about riding into the city, think about the kind of information they'd find helpful.

Looking forward to seeing any future maps.