Abraxus is right in why I won't do a comprehensive list. I'm usually happy to say what you won't find.
I will list what's definitely in the SLOPverse...
Under canines: Wolf, Coyote, Raccoon Dog, Blackmouth Curs, Northern Type Dogs...Think of these really as all separate races, not unlike how we humans can boil down into races and yet all interbreed. Foxes...Reynard...they can sometimes interbreed with the other canines of SLOP but the offspring are usually sterile and this interbreeding is rare. Laura Deighton was such a hybrid. In the real world of quadraped's, I don't think a fox/dog hybrid has been made to date.
Under equines there are larger horse types as well as pony types. There are also moderate to small donkey types. There are of course mules.
With caprines there are two races of goat. Harle was one race...the Coronado. I haven't decided about the other yet.
There are suffolk type sheep in SLOP. Carol is one of these South-folk
They can interbreed rarely with the coronado and make sterile offspring.
There are white tailed deer morphs in SLOP...the Fel. Connie was a Fel.
So far I've had raccoon.
There are mustelids... the Fitch...they're ferret looking. Another race like mink and still another look like otters. Sam was a Eurasian badger type of mustelid.
There are the corvids...they're the last avians.
Uthalla is a gator...asian alligator, not american though those exist too in SLOP. There may be one more reptile race. We'll see.
Obviously there are pigs in SLOP. Those come in a few races. Vepr are just one. You'll meet the other in Issue 4.
There are tigers...the Tag. There are lions as well...of the old european variety. Cheetah exist as well. So do Lynx. There also exists a race analogous to the Black Mouth curs of the canines. They're essentially a liger-like race that can be found in some port cities. They're traditionally seen as laborers.
I left out skunks like the coroner from Red River. I'm sure I'm forgetting something else.
Oh...there's the Gnathy...a rat race.
There were other races. They're gone. Some died out 40,000 years ago. Others were victims of more recent genocides. In some more savage areas of the planet in SLOP you even find some carnivore races eating others.
Someone said the existance of multiple sentients was a possible proof of a creator. The Intelligent Design religious folk of SLOP certainly agree. Scientists on the other hand refer to even that happened between 150,000 and 180,000 years ago where species rapidly changed and physically converged in the bipedal, tool using, upright form. I'd have mentioned it in SLOP if there were a story where it seemed relevant.
I hate doing the whole "As you know, Bob, the hyperspace transporter works by...."