It's a good platformer game, albeit with a bit moon-like gravity.
Most of the animated sprites have some artifacts along the sides (e.g. the bats and their ‘eyebrows’). The environments might need some improvements here and there (for example the second level has just a plain green background, and I don't know what the black & white platform is supposed to represent).
The gameplay can be inconsistent at times – for example, sometimes the black and white platform makes you bounce and disappears, sometimes you will bounce a lot and the platform stays. The bats also fly in random directions, which can make the game both easier and harder without your input – which is especially noticeable in the level in which the screen is constantly moving to the right. Sometimes the level ends by reaching the lightning bolt; sometimes there's two of them, sometimes none and you just have to reach the end, sometimes you have to collect all ‘cats’ and in other levels, you can safely ignore them.
And since you describe the game as ‘Help Cary save the animals’; there aren't that many animals to begin with.
I don't know why the game simply loops when you finish all the levels and puts you right in the first level; it takes away all the satisfaction from winning a game. At least show a victory screen or something.
Also, in the level with moving screen border, you should automatically lose if it catches up with you – now it keeps going and you're therefore stuck, and have to restart the entire game.
There are some problems, but nevertheless, it's a complete game and the level variety is quite refreshing. Welcome to Newgrounds!