Several years ago, we looked at Cameyo which allowed you to create portable versions of just about any app. The company now offers an even cooler service: running Windows apps in a browser window.
Cameyo comes with a built-in library of many free or open source apps (presumably paid apps will be absent due to licenses). You can also upload your own package files and after a few minutes of processing, you can run the app in its own tab. There are obviously some limitations, since the apps run separately in a virtual environment and you can’t access your entire file system, but you can connect the apps to Dropbox to save your settings and files generated within the app itself.