If would be interesting if you could allow a site to "open as application" (instead of open in new tab) - or this could even be called "install". The site would then appear in your OS like any other app, and may or may not have some of the browser chrome (URL bar, tabs, navigation buttons) depending on the site.
I currently have many pinned tabs - email, music - where I'd happily promote them to "apps". Even some of the real applications I use I only really use to get this behaviour (Slack comes to mind).
I'm a way, this is sort of similar to how Chrome OS works - just I want it on a real OS, I'm not at the point of being 100% web (or Electron-based) apps, and as a developer, probably never will be.