Hard to tell, none of the requests has pending status. Do you have any error on the backend?
I assume this is the nextjs starter? It displays the spinner if shippingMethods is falsy: https://github.com/medusajs/nextjs-starter-medusa/blob/main/src/modules/checkout/components/shipping/index.tsx#L117
Do you have any shipping options set up for your region? is cart.region set?