The Captain Sim 767-300ER (5990nm) has the range to do even the longest leg on the trip. The 767-200ER (6,590nm) would blitz them and would be my choice of aircraft. I've found them to be able to get very close to the real world distances.
The 757-200 (3700nm) could do the 2nd, maybe the first (but it would be pushing it if into a head wind) and certainly not the last two. 757-300 has a shorter range (3,395) than the 757-200.

Having just got back from hospital and surgery, I feel a bit like a train wreck and don't think I can do the trip. Being in Aussie also creates difficulties as I am between 15 and 18 hours ahead of the US. :(

Mark