I'm going to Australia!

In Sydney,

Climb the bridge. http://www.bridgeclimb.com/
Then go for a long walk down to circulay quay, past the opera house to the botanical gardens.

Ferry ride to Manly Beach (best option), or bus to Bondi Beach (most "touristy" option) to enjoy the natural beauty.

Melbourne - makes Sydney look good so worth a visit.
Tram to St Kilda and spend the whole day walking around the beach, Luna Park historical amusement park, great shops and cafes, and night life (I think).

To eat go to Lygon Street and spend the whole day eating in "little Italy" and enjoy the parade of people and their cars.

If you can, be in Melbourne for the cup, you'd be amazed at how nuts they are about horses running in circles.

what's the timing of your trip Sniady?

As has already been mentioned around November is horse racing season...

In Sydney and Melbourne it's basically spring carnival...
If you can make the Melbourne cup... do it!!
All horse racing around the 'spring carnivals' brings big crowds and plenty of good looking chicks all dressed up in the good stuff .... and everyone is well boozed so you'll have an absolute blast!

Around Sydney - yep, hit the Bridge climb, do a pub crawl through the Rocks, walk through circular quay, Darling Harbour and then finish the night off at the bars around King street wharf (pricey but much young talent seems to go to this area).

You can't go wrong in Bondi and Manly either.... both have the beach, birds, sun and pubs (Manly has a fair few more pubs on offer).

all the best

I really dont think you should confine yourselves to the cities. If possible and time allows, try and get a rental car to drive between Melbourne and Sydney. Then, with some advice you can see things like the obligatory Koalas and wild 'roos, see some very special scenery and have a bit of a road trip to boot.

And that's still confining yourselves to a small, small part of what we've got. Northern Western Australia and the Northern Territory have some amazing things to see like Uluru, the Olgas and Katherine Gorge. (Google those, you'll see what I mean) Then there is the Barrier Reef, Byron Bay (where I live), the Victorian Penninsula (and with it, the Great Ocean Road) and the Forrests of Far-North Queensland.

There are many Aussie beers, many are world-class, some are crap. I can only speak for myself when I say the places that you go to are more important than what you drink.

Its a bit more complicated than what we have space for here, or for what you care for, but Melbourne (in Victoria) have far more relaxed liquor licencing laws than Sydney (in New South Wales) and to international visitors like you, this means that there is more variation and more choice in Food and Beverage experiences in Melbourne. Having said that, Sydney is a more visually spectacular city. Bondi for example will give you some of the best drinking and dining in SOME places, with some absolutely stunning scenery. Melbourne will offer consistently better choice in small establishments, particullarly if you're interested in drinking wine. Sydney has a generally better climate - it is normally warmer in Sydney and this means that there are a lot more outdoor venues where you can enjoy our better beers.

Beware, there is a LOT of Melbourne / Sydney rivalry and nearly everyone is biased. I will say that we are gifted with some of the best food and beverage in the world here and both of our biggest cities contribute to that!

And yeah, there are a lot of Kangaroos roaming the fields. They're a pest and the ACT and NSW governments have only just decided to perform another cull to get rid of a few more.

You will have a blast if you're over around cup time!!!
Spring Carnival in Sydney is awesome and the Melb Cup is something else altogether!!!
It always delivers a good time.... let's just say champagne and women mix well

The Melbourne cup is the biggest horse race in Australia.
In Melbourne it's a public holiday, all of Australia stops to watch it, and close to everyone has a gamble on it and knocks back many ales whilst enjoying the race (and I'm not exaggerating when I say 'close to everyone').

Beer - is up to your own taste.... we tend to like them all, just in varying degrees.
Draughts on tap - Carlton Draught, Tooheys New, Coopers Pale Ale and in QLD they have XXXX (4x).
Personally prefer Carlton or Coopers.

Bitters - Victoria Bitter (VB)

Low Carb - Pure Blonde

There'll also be plenty of premium (foreign & local) beers on tap or by the bottle.

Powerpoints are 3 pronged -

Wild Kangaroos - not in the cities.... go to the rural areas and you'll find plenty though.

Powerpoints are 3 pronged - 240v, angled prongs:

/   \
  |

Aside from a fairly wide range of beers - you are on holiday - just try them all - try the wine (once again, matter of personal taste, but overall this country does big reds best).

The comment was made that you won't find 'roos in the city (which is true) but you don't exactly have to "go bush" either - you will come across 'roos, or at least wallabies (smaller) in outer suburbs/semi-rural areas.

As Ben said, they aren't exactly rare and are a pest - they get culled to stop the numbers getting out of control. Kangaroos also produce less greenhouse gas emissions than cattle (don't laugh, its true!) and the meat has almost no fat, high protein, so don't forget to eat our coat of arms, its good for you, and good for the environment

Another suggestion for a drive is - instead of driving Sydney - Melbourne is to take the Great Ocean Road from Melbourne to Adelaide. The destination isn't terribly interesting as a city, but its a great piece of coastline to drive along. Best thing about Adelaide is the wine regions around it.