Bulls/Heat
would have to be a TNT broadcast.

Looks like the first game on ESPN Australia will be Wizards/Cavs or Clippers/Suns. I can definitely live with that though.
Looking through the Bulls' schedule, barring ESPN Australia deciding to show another game, rebroadcasting games on FSN stations and other local networks and picking up games late in the year as they did last season, they should be showing a few games:
Sixers @ Chicago: December 6th (shown on Thursday the 7th)
Chicago @ Sonics: February 2nd (shown on Saturday the 3rd)
Washington @ Chicago: February 23rd (shown on Saturday the 24th)
Chicago @ Detroit: April 4th (shown on Saturday the 5th)
The Sonics game possibly won't be shown since they're likely just going to show Bucks/Pistons, the first game in that double header.
Taking a glance at the other matchups it doesn't look too bad for ESPN Australia viewers, though I still wouldn't call it a wide variety.