The next pair of shoes that are necessary for doing crossfit and training in general, would be Olympic lifting shoes. These shoes aren't just for Olympic lifts though, they are also used for slower lifts, like squats or deadlifts. These shoes generally resemble a w Best Women Crossfit Shoes edge, and that wedge is made out of wood, like Pendlay shoes. They are great for getting deeper into a squat while still maintaining great form. This is key when moving serious weight, because if your back starts to cave at all, your lift will fail.