Danny, for properly white backgrounds you will need additional lighting to light the background separately from the subject. At a pinch you might squeeze by with one background light, for headshots or similar, but for full length you'll need a couple of lights for the background alone if you want it evenly lit. For a black background you might not need lighting for the background itself, but you will need to know how to prevent spill from your main light from screwing with the backgeound if you want it to remain black.
If you want to get creative with your lighting for the subject you might be looking at independent lights for main/key and fill, perhaps another hair/slash light, maybe kickers for separation. You'll want different lighting setups (not necessarily equipment) for men vs women, blond(e) vs dark. Then there are different light modifiers to control the light in different ways to achieve different effects. You've got your basic shootthru brolly, bounce brolly, softbox/octabox with/without grid, spill kill with/without grid, snoot, beauty dish and more.
I'm far from experienced in all this, but I don't think that having someone write you a shopping list will help if you don't understand how to use the gear. You'll need to understand about hard light vs soft, controlling contrast and shadow, falloff, and that's just the lighting. Then there is posing to consider as well. Seriously I'd do some more reading up and watching videos and once you have a better understanding of how things work you can figure out what you might need.