But there is one difference:
Simon's link shows the lunar phases of the Northern Hemisphere. At first quarter you see the "right half" of the moon, at last quarter you see the "left half".
On the Southern Hemisphere it is the other way round. See this website: The Moon for Southern Hemisphere
I am not good at explaining things in English, so I just copy and paste an explanation from the above website.
Why is the Moon in the Northern Hemisphere upside down from how it looks here in the Southern Hemisphere?
The Moon orbits near the equator of the Earth. In the southern hemisphere, we're standing on the opposite side of the globe from the "northerners", so we are "upside down" from each other! So we see the Moon from a completely different vantage point (ie "upside down"!). In fact, we in the southern hemisphere view most of the stars quite differently than from the northern hemisphere.