The first one is Mammillaria vetula subsp. gracilis 'Arizona Snowcap'. It is a very spiny version of the normal plant.
The second looks like some kind of Euphorbia.
The third one looks like some form of Echeveria, but someone with more experience with those kind of succulents (I have trouble getting them through the summers here in Arizona, so do not grow them) will have to confirm that.