Goodsie (https://goodsie.com/) takes a modular approach, where you can add and adjust content blocks and style them.
Tictail (tictail.com) doesn't abstract the process, they just give you full access to the page template and in-line css. I haven't tested how they sanitize the results, but they don't stop you from adding anything in the editor.
Most of the examples I'm familiar with are e-commerce related, but I'm very interested in finding good examples of all sorts. Thanks!