Yeah, well, I hardly think those animals are fair comparisons. If a lion were to try to frolick with anything other than another lion, the poor creature would have a cracked spine in no time flat. More over, at least the examples you suggest are not capable of interbreeding. My black neighboor is not a different species than me.
But if you want examples of multiple species goofing around together, go to a farm. I have been on farms where the cats, dogs, and cows all lounged around the same watering hole. And it was an even bet whether the dog would be chasing the cat or vice versa.
I've also seen the feral dog packs in multiple cities with as many breeds of mutt as you can count trotting side by side blocking as much traffic as they can manage. Everything from tiny yipper dogs to "you're sure that isn't a wolf?" and the differences don't seem to bug them at all.