Now here's the really odd part. I have a second guest installation of Win 2000 Pro, and in this one I can get full screen resolution. I can't see any differences between the two installations, but the second one works and the first one doesn't.
As a further check I opened both sessions at once and went to Display. Here's what I saw -- on both:
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Adapter type: VirtualBox Graphics Adapter
Chip type: VBOX
DAC type: Integrated RAMDAC
Memory size: 8MB/32MB
Adapter string: VirtualBox Video Adapter
Bios information: Version 0xB0C2
The one that works actually has the smaller memory size (8MB), though I tried that on the other one with no success. And the list of available resolutions ends with 1152x864 on one and with 1280x1024 on the other one.