The vast majority of LLCs are set up for their pass-through entity quality. Technically yes, you can elect to be taxed on an LLC. The number of LLCs that elect this are vanishingly small and it would only be for an obscure, probably ultimately tax sheltering effect.An LLC is actually not a tax vehicle. An llc can be taxed as a partnership, s-corp, a sole proprietorship, or even a c-corp : each which has different tax rules.
Can you give us a scenario where it would be advantageous for an LLC to elect to be taxed as each of the entities you listed? I've always assumed there was such a scenario but never seen it or figured out what it would be.