Skip to next modified file in git diff?

By default, git diff pipes its output through less. So you can use the less commands to search for the next header. Type /^diff and press Enter to skip to the next file.

While in git diff, simply hit n to go straight to the next file, and again to the one afterwards, and so on.

You can also use N to go back a file.

(For these commands to work, you'll need to first type /^diff and press Enter, as explained in this answer.)