I won't go through each story but my favourites were:
Hotel Mariposa. Ive already mentioned further up the thread but this was an early favourite of mine and stayed that way until the last few stories. I really loved the explanation for why the building behaved the way it did.
Then Another Mother came along. I haven't read any other shorts set in Ataegina before and I really enjoyed the setting, the language and the people, from such a short story there was a real sense of "lived in" history there. I'd actually like to read a Predator only novel in that setting.
But then my favourite of the entire book was saved until last, Kyodai. Again the setting was compelling as was the writing style it was quite unusual, elegant even. I know the ending probably wouldn't please everyone, but again it was unusual in a field where there can be a lot of similarity.
Similarity is possibly one of the main criticisms I'd have of the book but I suppose there are fairly finite possibilities for squeezing AvP into a short story format. A couple of the stories were possibly a bit too heavy handed with themes in places, such as slavery etc and a couple ended with a bit of an anti-climax.
Overall though I enjoyed it, and am just really happy books concerning these creatures are still coming out and that there's still a keen market for them.