What I want
On an Iphone, when visiting a website inside Safari or Chrome, it is possible to share content to other apps. In this case, you can see
That's a good and still relevant question.
I tried to make use of the awesome cordova-plugin-openwith by Jean-Christophe Hoelt but faced several issues. The plugin is meant to receive share items of one type (say, URL, text or image), which is configured during installation. Also, with its current implementation, writing a note to share and selecting a receiver in a Cordova app are two different steps in different (native and Cordova) context, so it didn't look as a good user experience to me.
I made these and other corrections to this plugin and published it as a separate plugin: https://github.com/EternallLight/cordova-plugin-openwith-ios
Note that it works only for iOS, not for Android.