I like using Neutrogena products for my sensitive skin.
For removing makeup, I had previously used the Neutrogena Makeup Remover Cleansing Towelettes. They're convenient and effective, but it gets pretty expensive to use them everyday. So I looked for a different solution.
Now I use Neutrogena Fresh Foaming Cleanser. It's more economical. It both cleanses my skin and removes makeup at the end of the day. I just wash my face with it, and my face is clean and makeup-free.
I need to use an additional product to remove mascara and eyeliner though. For that, I use Neutrogena Oil-Free Eye Makeup Remover. I dab it on a cotton round and wipe it across my eyes, and all that waterproof mascara just comes right off! Sometimes it doesn't get all the eyeliner near my lash line though, so I'll use a Q-tip dipped into the eye makeup remover to remove the last bits of eye makeup. (oh, and be sure to vigorously shake the makeup remover bottle before using it each time. The solution tends to separate itself if you let it sit on a shelf for even a few hours)
All these Neutrogena products are so popular that they now have generic brands available for the same things. Visit your local Wal-Mart or Target store, and you'll find the store-brand equivalents of the same things at a much lower price (ingredients seem to be the same too, for the most part). The store brands may work just as well for you.