England/Great Britain: Aside from ones already mentioned Alice from Alice’s Adventures in Wonderland
Transylvania: Count Dracula
Irish creator
John Bull
Uncle Sam
I take your point, but let me ask a question: if Superman represented how America wanted to see itself at a particular time (most especially the sixties, maybe?) is it not also the case that the downbeaten but spirited Little Tramp was also how Americans saw themselves at a particular time? My understanding was that part of the success of the character was that he was an Everyman figure that could be readily identified with, especially at a time of poverty in the US.
j
I read that both Sinbad and Aladdin were created by a early French translator of the Arabian Nights. It would be interesting to find out what actual Arabics think of the characters.
Brittania?
Columbia?
Of course, regardless of where Aladdin was created, he himself was said to be Chinese, not Arabic.
No alternate suggestions, but it occurred to me that an interesting topic would be domestic versus international views of iconic characters for each nation. I bet there would be some significant disconnects. (would Italians agree that the most iconic character in their country is Pinocchio?)
At one time, The Little Tramp was the most recognized character worldwide (which may say more about the global reach of silent film more than the global reach of the character, but still…)
I don’t think of Mad Max as iconically Australian. But then never been a fan.
I’d vote for Skippy - love our kangaroos.
Not Ned Kelly? 
He’s not a fictional character.
Right. Legendary, but not fictitious. Kinda like Bat Masterson or Wyatt Earp.
I wonder if Batman isn’t more iconic now than Superman.
Not for me. Ned Kelly was a violent thief. I am not sure why he is made a hero - he’s not like Robin Hood - no stealing from the rich and giving to the poor.
Oh - my surname! I am a bit slow. 
My husband’s ancestor was one of the police involved!
Skippy for me!
USA: Uncle Sam
Surely we can do better than bloody Skippy!
In addition to Crocodile Dundee, Mad Max and Dame Edna Everidge:
Ginger Meggs
Barry McKenzie
The “Magic “ Pudding
Blinky Bill
Uncle Dick from “The Potts”
Is the Magic Pudding a “character”?
US - Uncle Sam
Albert is a sentient, walking, talking (magic ie everlasting) bowl of pudding with a sassy attitude. Being voiced by John Cleese in the animated movie version, I’d reckon he’d be classified as a character by most definitions.
That’s the kind of character I was hoping to learn about. Like when you’re walking through the airport in a country you have never been to before, and every gift shop has t-shirts and mugs and toys and magazines with the face of some character you have never heard of before.