Well, a trained guard dog costs 25 gp, so that's a good reference point to work from.
Regular cats and dogs are ubiquitous in most human settlements -- companionship aside, cats are vital for protecting food stores from vermin, and dogs are great for hunting and security. I would assume that the cost of a guard dog is mainly a matter of breeding and training, and a plain old mutt would be maybe a silver or two at most, and likewise for a cat. In fact, you could probably get cats even cheaper -- just find some random farm, they're sure to have plenty to spare.
Rats would be even cheaper than cats and dogs, maybe a couple coppers at most.
The rest of them are a bit more "exotic", and so would fetch a higher price due to the effort of catching them. I would be inclined to divide them into two groups, like so:
Group 1: Eagle, hawk, owl, weasel
These are common, more or less nonthreatening wild animals. They wouldn't be easy to get, but there isn't too much danger involved. I'd put these around 10 gp.
Group 2: Badger, the vipers
These animals are dangerous if dealt with carelessly, but a skilled handler could catch and transport them with little risk. They'd probably sit around 20-30 gp. Vipers might be subject to additional fees or restrictions due to their venom, though.
Group 3: Boar, dire rat, wolf
These are tough, dangerous animals that would be quite difficult to catch without risk of injury, even for a skilled handler. They'd command the highest price, probably in the 30-50 gp range.