I went through this same debate before I bought mine. Diesel won the battle, despite the often higher diesel prices.
Unladen - not towing or carrying much - the petrol vehicle will use around 15LPHK, whereas the diesel will use 10-12LPHK. That's significant, over long distances. The petrol will get a warning light at around 430km into a tank of fuel, the diesel will get 540km (at 12LPHK, it will get 650km at 10LPHK).
Towing, the differences are larger. We're getting 15s and 16s towing a double-axle full height van at 1.8T. The petrols will go over 20LPHK - your fuel warning light should light up around 320km.
Performance - the petrol vehicle is really, really zippy. It has buckets of power, and zips the car off the mark in no time at all. Surprisingly, though, the diesel can also perform well, but it needs to spool the turbo up - that does take some time. You press your foot on the pedal and can count off about a second and a half before the beast starts to roar.
Off-road - both vehicles are capable off-road unless it gets wet, at which point the petrol vehicle stops and the diesel just keeps on going.
Fuel Availability - some outback towns only carry diesel, they don't carry unleaded or if they do, you have to arrange it in advance.
Noise - the diesels without a doubt are noisier. The petrol version sounds like an ordinary car, whereas the diesel sounds like a small truck. There's no escaping that - although inside the cabin, you don't notice it after a while and really, that's what stereos are for!
Hope that helps.