Okay that was Aug 22, nearly a month ago. They have since introduced 10 new animals and I'm no further ahead. Missing 13 then; missing 14 now. Not much has changed, except that the Pandas have been replaced by Thunderhawks.
I now have 71 animals, more than half of which are duplicates with 23 of those duplicates being COMMON. 40 Commons in total.
So how am I doing? Roughly 30 percent of the album remains "IMPOSSIBLE TO BREED". So far, anyway. This is what my normal looks like after nearly 2 months of play. I feel your pain, Anayuszko; I'm just more accustomed to it.
On the bright side, while it would be nice to replace half of those Commons with Rares & Supers, we both have forests that can earn over a million coins per day. That's more than most players can claim, so I for one won't complain. I hope you can find the joy to keep playing; if not in breeding, at least in some other aspect of the game.