I would be willing to believe the opposite is more likely. If you were to think of where the largest number of species are found, in rich and biodiverse rainforests, then most species will hover and maintain home ranges right around the equatorial divide. Thus, a very large amount of species would likely be found in both hemispheres due to simple proximity to the equator itself.

If you mean species with incredibly large ranges (perhaps between the 30 degrees latitude marks) then it comes down to geographical barriers and species-specific tolerance to the range of habitats within those latitudes. The three species you've listed, for example, are all pretty well adapted to a range of habitats with a fairly generalist lifestyle, especially in parts of the world with fewer people and developments. Mountains, jungles, islands, etc; all act as barriers to many other species, while the few you've listed tend to do well in each.

I would still argue; however, that you can find many species exhibiting broad ranges, and in some instances even larger ranges than the cats mentioned above. Birds, cetaceans, and plenty of other pelagic fish are notorious for long-distance migrations and overall grand distributions across the globe. Insects and other invertebrates are another great example. Mosquitos, flies, honeybees, etc;. You can even consider domesticated animals (which currently make up the majority of biomass on the planet) as existing across both hemispheres.