The crop pane enables you to crop outside the image — useful if your distortion controls or rotations have left you with bits of image on the edge which you still want for some reason. The keystone controls are notable, because they are extremely easy to use, requiring you to click in just four places. Because everything works non-destructively from Raw, and Capture One allows you to work on variations, you can play with this to your heart's content.
Something which you won't find in many other packages is the overlay function, which simply allows you to have an image — for example a page layout, or the specifications for an ID photo — appearing over your image. You can do this while capturing as well, making it easy to shoot exactly what the art director wanted.
The details pane includes controls for sharpening, noise reduction, moire and spot removal. The spot removal has always been good in Capture One because you can simply copy its settings to another image, useful for dealing with that bit of lens fluff or sensor dust that you didn't spot before you started shooting 300 images.
Noise Reduction in version 7 is much improved over version 6. You may want to try this for yourself, since how much and what kind of noise you get depends a lot on your camera. Shooting with a D3, the new version clears up the very few images I had that version 6 couldn't clear up. If you have something newer than the D3, it's quite possible you won't be troubled even to that extent. Older cameras, of course, need more cleaning up.
A nice feature of Capture One is the Focus preview, which enables you to see in detail and instantly the effect of your changes at 100% on a critical part of the image. I used this a lot when working with the older Mac where low memory and a shortage of available disk space sometimes reduced version 7 to a crawl.