All these cats are very definitely not domestic in the least, though they can be tamed. There's a huge difference there! A wild animal can be acustomed to being in the presence of humans- that's taming. Domesticating, on the other hand, is altering a species via artifical selection to provide for some human need or want.
...So with that said, let's get straight to it!
CARACAL
Also known as Caracal caracal. Yes, really. These beautiful cats aren't lynxes, although they do resemble them somewhat because of the distinctive tufts of fur on their ears. They have a huge territory, and roam in Western and South Asia as well as Africa. While most of them are light coloured, melanistic or black caracals can occur. One of the nifty things about this cat is that their pupils- unlike those on most other cats- don't form slits in bright light but instead contract to smaller circles. Here's a video of some kittens down at Oregon Zoo last year as well!

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PALLAS'S CAT
And now for something totally different! Also known as the manul but technically called Otocolobus manul, this tiny wild cat lives around Central Asia. While it's not a threatened species yet, its habitat has been changing a lot over the past and it is considered to be Near Threatened. They're solitary creatures that live in dry, rocky areas, and aren't much bigger than your typical domestic cat. Their fur is ridiculously thick, which helps them survive in the harsh environments they live in. Here's a video of two of them moving around.

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SAND CAT
Third on our list is a little feline that lives only in deserts, and has been affected by similar concerns regarding the gradual loss of its habitat as the manul. Felis margarita is normally found through various deserts in Africa and Asia and tends to live in burrows. They can also travel huge distances by night- which, considering what sort of places they live in- is something that's very important to finding enough food to eat. Here are some adorable ones from Cincinnati Zoo!

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JAGUARUNDI
Last but not least, meet the jaguarundi- or more properly, Puma yagouaroundi. This wildcat lives in Central and South America, though has likely gone extinct from Texas. They come in two colours, grey and red, and out of all the cats here look least like their domestic cousins. They also live in grasslands and wetlands, and are just as likely to be active in the day and during the night. They're a lot harder to find videos of compared to the rest, but here's a young one!

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And of course...
Today, since I'm linking pictures and videos, you get one of each for spiders!

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I've featured peacock spiders before, and you might remember their flamboyant mating dances. Jumping spiders have great vision, which is why their dances tend to be a little fancy. Here's what it more normally looks like, though. You can see a good video of a male trying to court a female here! If you watch, stick through till the end- I like to think he's asking her to ride his invisible motorbike with him.