For solo minimalist lightweight and ability to camp anywhere, a camping hammock (bugnet plus rainfly) is hard to beat. Just know how to use it when there are no trees around.

Really, in North America there is very little that you absolutely need. If you don't mind a lot of discomfort, you can probably ditch just about everything but water and some money for food. And a pump/patch kit.

The next step up in minimalism I would say is the lightest camping setup you can get, shelter/sleeping bag, and a change of clothes plus some rain gear and doodads like a cellphone and repair kit, first aid kit etc.

Stove is not really a necessity, but can be nice.