I think the cholla is a diamond cholla (C. ramosissima var. nudum) - it has a widely cultivated spineless form. If the flowers are a more metallic coppery orange-red it is the Diamond Cholla, plain yellow would suggest Stefan is on the mark with the ID.
I think the E. engelmannii might be dead, but hard to find out given the dense spinage.
Two Agave in the third picture. The smaller one on the left is Agave parryi possibly var. huachucensis.
The taller plant looks familiar, but I am not immediately sure of what it is. Could be a slightly wide leaved Agave murpheyii.
The plant in the final picture looks like Agave parryi var. neomexicana to me.