A comparison pic of some traps that have been or are still commonly used here in Australia.
The Lanes Dog Trap is the classic Aussie dingo trap. There were other brands and even much bigger double long springs used prior to the Lanes. The Lanes has a jaw spread of somewhere between 8 and 9 inches depending on which exact trap (age, rubber jaw etc). Some time in the 1990s, the Lanes was made as a rubber jaw trap but the old style was still made as well. Manufacture of the Lanes finished last year. The dingo is, on average, slightly larger than a coyote. To many in North America this trap would seem very big for the size of the target but it has always been seen as normal for targeting dingoes/wild dogs. (the term wild dog is a collective term for dingoes, feral dogs and dingo-dog hybrids)
The Victor #14 jump was also used for wild dogs in the past.
Currently, some of our most popular traps for targeting wild dogs are the Jake, Bridger #5 and Victor #3. Many trappers who were used to the old Lanes really struggle with the smaller traps (especially the Jake for some reason). Other trappers have simply changed their ways and adapted to the new traps. I personally prefer the new traps, with the Jake being my first choice although I started trapping with both Lanes and newer traps so I didn't have the old habits ingrained over many years to break.
The Victor softcatch is the standard for research trapping here. The #3 for wild dogs and the #1.5 for foxes and feral cats.
Lots of other traps are being imported and used here now but I think I have hit the most commonly used traps.
The "Rabbit trap" was the common trap used to target rabbits and came in many many brands and styles. The European rabbit was introduced into Australia for hunting and their number rose dramatically and they became one of Australias worst, if not THE WORST, pest animal problems. They numbered in the millions and every method was used to control them. Pro trappers or "rabbiters" made a living from trapping or shooting rabbits for fur and meat.
Trap collectors can have hundreds of variations of Australian and English made rabbit traps in their collections. The jaw spread is roughly 4 inches. They haven't been made for many years and they are illegal to use in most states.
Not much rabbit trapping happens these days but the Victor #1 is sometimes used.
I do not really think there were any unique fox size traps used here although some traps would have been imported to target them. Sometimes rabbit traps were modified with a second long spring to be used on foxes. Other times, multiple rabbit traps were set for foxes so that more than one foot would be caught in order to hold them. These days we can just import any suitable trap for foxes.