Is there a service type which provides an application to you, but doesn't provide infrastructure for it (IaaS, PaaS, SaaS)?

As we know there are 4 types as services:

1. On-site - you manage everything.
2. IaaS - Infrastructure as a service - there is some machine that you can use.
3. PaaS - Platform as a service - There is some runtime where you can run your applications.
4. SaaS - Software as a service - There is everything, you are just using the application.

But is there some type that describes service that provides an application to you, but doesn't give you any underlying stuff for it (Runtime, O/S, Networking, etc.)? Where you go upside-down considering the picture above.

For example, site builders, or any other builders where you can build an application, export it and use on some PaaS or IaaS.