The Alice in Wonderland motif seems pretty cool. (Would there be copyright issues???) I'd like Res to have more "activities" like that; I feel like there aren't very many. (Admittedly, I haven't explored the site thoroughly since joining.)
I strongly support the idea of having a better reward system for abandoning pets, like with the Kir quest.
The unnamed pets wandering off into the forest also sounds good, but yeah, it is like getting extra hatches, so maybe there'd be a limit to how many unnamed pets of any color/species can go into the forest each day. Like, a number reflecting hatch chances? 40 natties, 10 blacks, 1 albino from each species will go to the forest. It would just be random from whatever pets wander off that day. Obviously not many people don't fail to name their binos but I'm just throwing an idea out.
Oh, and I just thought of this: you could only take an unnamed pet from the forest if you released a pet from your hatches that day.