http://www.chimmys.com.au/
I like Chimmys on Bridge Rd Richmond its my fave place to have breakfast, quality of the produce used is excellent, as is the coffee and cakes. The bread is made at the Collingwood convent as well. All good and yummie.
(last 2 pics on right side)

http://www.vuedemonde.com.au/bistro-vue.aspx
I like Vue du monde steak OK maybe Squires Loft Toorak gives it a run for its money with steak. Its the experience when you go to Vue de monde that makes it special as well. I had wagu slowly cooked the desert got me in the end choc souffle. I loved when the waiter stabbed it and poured in the hot chocolate... onion soup never dissapoints as well.
(first 2 pics on left side)