Is there a page caching solution for me?

[eluser]little brittle[/eluser]
The included CI caching is extremely limited, and I was reading that a combination of APC, Memcache or eAccelerator would substantially improve performace. I was wondering if there was a single caching solution, or a combination of libraries for my CI app that requires the following:

- Expire a specific cached page on demand.

- Granular caching.

- Serve 2 versions of the same page. Non-registered users would receive a generic full page cache, and registered users would receive a granular cache where sections of the page would be populated with their unique user info.

- I would love something that cached HTTP headers, but I don't think that is possible since I need to determine whether the person is logged in or not before serving the page.