I often use it to read Wikipedia articles. The layout is all jambled up, but the article content itself is fine. If a web site is low on layout, heavy on text, it usually works okay-ish. A lot of web sites these days, however, are an empty skeleton with a bit of Javascript code to load the content - these do not work in dillo, it has no Javascript engine; to a degree, I consider this a feature, but it makes large parts of the world wide web inaccessible.
Also, not web, but if you try a Gopher browser such as lynx, you can try gopher://magical.fish as a nice entry portal, it has tons of services. Also, gopher://gopherddit.com and gopher://hngopher.com
On Gemini, there's the Lagrange browser, and gemini://gemi.dev with a nice set of services too.