You can have an instrumental band (there are meny good ones.) so vocals are out the window. In a band (assuming rock), if there are keyboards, they're usually filler, and although can add some nice touches if used properly, are still not a necessity. So, it's down to guitar, bass, and drums. Well, since bass guitar is usually very seclusive, and is very much like a keyboard, in that it's mostly used as filler. Drums and guitar are both extremely important, however, and are both as equally important.
But that's only rock. If you go into other genres, guitar can become less prominent, and other things more dominant. But since drums are pretty much universal in all genres, as a time-keeper, I'd honestly say that drums are the most important instrument.
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