matt kennedy says Cape Cafe is great for offers free wi-fi. (About 1 month ago)
Decent coffee and toasted treats plus fast wi-fi.
Llankelly Place, which is a pedestrianised street between Darlinghurst Rd and Orwell St.
(If you’re Welsh, you’ll be able to pronounce Llankelly PROPERLY, unlike the locals!)
Tell Chris Matt sent you. ;-)