Basically, this depends on the file types you would like to open inside your application. You can give a try the following custom Cordova plugins and see if they works for your scenario:
Another approach would be to use a custom URL schemes for all the file types you will have downloaded in the application. You can check our sample about this.
If none of the above works, please let me know what are the exact file types you would like to open from within your hybrid application and I will try to assist you further.