Are you looking for a bulk print on demand service where you can add different types of products to your Shopify store (Hats, Mugs, Shirts, Phone Cases, etc.) from a single design/image?
That image you shared is from TeePublic which offers that bulk design feature. However, it is its own platform and doesn't integrate directly with Shopify. However, you could create the designs on TeePublic and then use a print-on-demand app such as OrbitKit that connects to your Shopify store. This app also integrates with TeePublic so you can have them help you import your design libraries from TeePublic into their app and onto your Shopify store.
I hope this helps! If there is anything else I can help you with, please let me know!