Do you know any of these?

JIMENA (Cádiz) These are some of the cacti (there are more below) I've been collecting over the years, plus a very invasive creeper (I call it Creepy) that, while providing shade in the summer, has to be kept well under control and is now cut back to make room for a less invasive jasmine, which has less character but is easier to manage.  Still, tourists come by to take a good look at it, or a photo – and they always ask me what it is. I have no idea. I don’t know any of their names, so I wondered if you might be able to help. Some were bought in; others are some of the only survivors of my lengthy hospitalisations. Well, we all need a bit of TLC, don’t we? And yes, I do speak to them – well, I say good morning anyway. Begin to worry when I tell you they’re answering back. Seriously, though, they and their many mates on both my patios have provided healthy entertainment and a lot of willing work. [ANYBODY INTERESTED IN RUNNING A GARDENING SECTION IN OUR COMING-SOON WEBSITE?]

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Local names in Spanish would be more helpful than English. Their Latin names would be even better. THANK YOU!