Ok, I am pretty sure about 1 and 2, I am still working on 3,
The first one is the Belgian horse right?
The 2nd one is the Missouri Fox Trotter, here is a quote
The distinguishing characteristic of the Missouri Fox Trotter is the fox trot gait. The fox trot is basically a diagonal gait, like the trot, but the horse appears to walk with the front legs and trot with the hind legs. Because of the back feet sliding action (rather than the hard step of other breeds), the rider experiences little jarring action and is quite comfortable to sit for longer periods of time without "posting" or "standing" in the saddle.

Deli, do you want some links to the Icelandics and their Tolt? There is a farm here in Vermont I have been wanting to check out.