Or maybe something more like Tiger and Leopard style Kung Fu
As callsignfuzzy stated Uechi and many martial arts have tiger techniques. In his book Uechi Ryu 2000 Alan Moulton cited a quote that says when you see someone in a cat stance they're either really good or really stupid and you'll find out real fast.
The point is that the cat stance is often used by those who have a lot of training or those who are trying to look it.
Tiger techniques are often very powerful ones and ones that are very natural for some of us.
I can't speak to leopard techniqes as was stated Uechi is based on tiger, dragon and crane and it's the only art I've ever studied formally.
In Shaolin pai, there is a tiger and leopard form before moving on to crane, snake, and dragon. Choy li fut, hung gar, and many other styles utilze tiger and leopard techniques.
Learning animal styles adds new abilities to your body and mind, allowing you to adapt your responses to the opponent's style. Below is a link to a youtube video of "Tai-chi Tiger Form", and is one of the many types of forms used in Tai-chi-Chuan to develop the body's ability to move.
For practical self defense you cannot just stand rigidly as you see in many of the tournaments. People on the street don't fight that way. So you have to develop many ways to move and to deal with different body types, heights, weights and skills.
There are certain Chinese martial arts that incorporate movements resembling a feline. For example, there are a few "Five Animals" sets that often include movements relating to a tiger and a leopard. I believe Hung Gar, Choi Lay Fut, and Hsing-I have such movements. There's also Fu Jow Pai (Tiger Claw System) and a "Black Tiger" system.
There's a style of Silat called Harimau that takes some of its movements from a tiger.
Parker-lineage Kenpo includes some clawing movements, and I think it has some roots in Chinese martial arts that have an animal form to include the tiger.
Uechi-Ryu karate is supposed to have movements based on three animals, including the tiger (the others are the crane and the dragon).
With that said, people should fight like people. We don't have claws, fangs, or long tails for counter-balancing. If you're interested in performance art, imitating animals might be fine, but the biological differences between humans and other creatures means that imitating animals, at best, has its limits.
As for Capoeira, it's not really known for imitating animals. It's been speculated that it might have some roots in a "Zebra dance" from Africa, but I've never seen a zebra perform a cartwheel, foot sweep, or spin kick.
You know like the Brazilian martial arts called Capoeira which came from the observation of animals
Or maybe something more like Tiger and Leopard style Kung Fu
