classes require you to be barefoot. It is not possible to do barre class in shoes. If you have a foot thingy and the idea of going barefoot scares the heck out of you, then you may like to try a pair of socks that have grip on the sole. Just be aware that some exercises will still not be possible.
Yoga classes require you to be barefoot, but I promise no one will be looking at your feet. It is just not that kind of class if you know what I mean.
Pilates can be done with either bare feet or socks.
Zumba is usually done with sneakers or barefoot if you are that way inclined!
Please also bring a sweat towel for hygiene purposes.