As of May 2017, the Public folder has been converted to a standard, private folder (this conversion happened for Dropbox Basic users on March 15, 2017).
The in-browser rendering of HTML files has also been/is being discontinued (see quoted paragraphs below for the exact dates). According to the pinned answer on this question, shared HTML files will be ...
The index.html redirect from / is resolved by the web server. Given that Dropbox doesn’t offer a web hosting service, but a file hosting service, I doubt you’ll be able to make it work the way you want.
Dropbox is intended for file sharing, not really web hosting and will even limit the traffic to your site if it gets too much traffic. If you are just trying to host some kind of blog I suggest using a blogging platform such as WordPress that allows you to create a free blog.
Hosting web pages with Google Drive has not been available since August 31, 2016.
Host web pages with Google Drive
Deprecating web hosting support in Google Drive
Reminder: Turn down of Google Drive web hosting coming soon
The opposite of a static website would be a dynamic website.
Static websites consist of actual, physical, separate files that require physical intervention from a human being in order to be modified. The entire code used to represent any part of them must be hardcoded.
Dynamic websites are virtual pages built on the fly by some preexisting code, ...
A filing cabinet on Google Sites may work.
(Disclaimer: I haven't tested it, don't know it's subject to teh same issue that Drive apparently has - but I know that if you simply upload a new file with the same name, the URL is the same.)
Create a new folder in Drive and share it as "Public on the web."
Open the HTML file and click Open in the bottom-right corner.
Click the "Preview" button in the toolbar.
Share the URL that looks like "www.googledrive.com/host/..." from the preview window and anyone can view your web page.
For what it is worth, there is a way to encrypt a text subset of Trello using Greasemonkey: http://userscripts.org/scripts/show/173422
The script runs in a browser and intercept text nodes, encrypting and decrypting them using AES. The description of the script contains some discussion on the level of security that may be achieved with this approach. It ...