There's luakit, uzbl, surf and jumanji from the top of my head, but I don't think any of these have "full interoperability with the CLI". luakit is definitely m

There's luakit, uzbl, surf and jumanji from the top of my head, but I don't think any of these have "full interoperability with the CLI". luakit is definitely my favourite as it has been much more reliable than uzbl and easier to configure/extend (in lua).