Polly wants a cracker

I thought that this parrot is the same as 

Love Bird

'Rosy face? Peach face?

Red-breasted Parakeet

Edit:
The topmost bird is a Love Bird. A bird that escaped from captivity or one of its ancestors did. But it is a parrot means that it has a higher than average chance of survival.  

Update: 

Better pictures of a love bird.