Erm... Probably a rabbit.
Guinea Pig
I'm guessing here- guinea pigs or cavies fit the criteria.
The Guinea Pig is a small stout-bodied short-eared tailless domesticated rodent (Cavia porcellus) of South American origin
Yes, guinea pigs are tailless. They are born without tails which distinguishes them from other rodent species.
A Lorris is a small Old World tailless primate: for an article and picture, and links to videos, see http://www.flickr.com/photos/joachim_s_mueller/3203489862/ Large Old World tailless primates include MAN, and the great apes: Gorillas, Chimpanzees, Orangatans, and Gibbons
Large rodent translates to Spanish to mean roedor grande.
The capybara, the largest rodent in the world, can grow to as much as 150 pounds as an adult. That would be a bit more than the average wolf weighs.
Some primates (such as monkeys) have prehensile tails, which means they are fully able to control the tail and it is almost like an extra arm. However, some primates, such as humans and other apes, are tailless or nearly tailless.
The paca is a large burrowing rodent of South and Central America.
a very large rodent - a monster rat
hamster
Tailed Tailless Bat was created in 1818.