Taygra dance shoes that look like Vans https://www.taygra.shoes/products/urbano-floral-grey 

Very fast/spinny (faster then Taygra Corrida) in their final form, but it takes them maybe a week or two of wear to achieve the final form. The mechanism behind that is that the outer edge of the outsole is rubber-ey and so it'll grip the floor. But after a bit of use it gets worn down and so the main plastic part of the outsole is what in contact with the floor thereafter.

Here is a picture of my outsole with worn-down edges:

This also suggests you can accelerate the process of the shoes becoming faster with a measured application of the file to the edges, but I haven't tried that!