Surface web – anything that has been cataloged by a search engines. If you can find it via search engine then it’s surface web.
Deep web – Anything that is not cataloged via a search engine. You can access the deep web from any browser if you know what you are looking for. You do not need to use TOR to access deep web content.
Dark web – Part of the deep web that has been blocked off and/or hidden from normal access via standard web browsers. This is where you would need TOR or something to that affect to access. It is not just all illegal sites for hiring hitmen and selling drugs.
Underweb – can only be accessed by a modified build of a specific Photoshop client from the 2000’s.
Shadow web – is operated in cells with courier pidgeons carrying thumb drives between them.
Lightless Void web – you need an air gapped PC, an apparatus of mirrors, and the arcane assistance of an ancient ghost.