In Oz we have also eliminated the 1c and 2c coins. We are existing quite happily without them. Seeing how well that went I would be happy to see the 5c coins go as well.
Interestingly our $2 coin is smaller than the $1 coin.
Yeah, I saw that in the Wikipedia article. Canadia has the same as you, no 1¢, and there are both $1 and $2 coins. (I surprised a hotel desk clerk when I, and American, asked her to change some paper for "toonnies" for the laundry machines.) They don't have 2¢, but I don't think they ever did. I know that we in the US (OK some us) would also like get rid of pennies, but face the same resistance as to getting rid of singles.
The other thing weird about us, and Canadians, is that we have 25¢ coins, not 20¢. 1, 2, 5, repeated with powers of ten, is a pretty common sequence. Look at the currency of other countries and the dials of oscilloscopes and other places. Yet we have 1¢, 5¢, 10¢,
25¢, $1, $2, $5, $10, $20, $50, and $100. OK, 2¢ has been missing since 1873, 50¢ and $2 are all but obsolete (but still valid). But why the heck do we have 25¢ and not 20¢?
(I told you, I'm a coin geek.)