git diff origin/branch:path/to/file1 origin/branch:path/to/file2
# or
git diff <commit sha>:path/to/file1 <commit sha>:path/to/file2
You can actually put anything that points to a revision before the : : branch name, tag name, <sha>, HEAD, master~5, stash ...
You can also choose to compare two different files from two different commits :
git diff origin/deployment:deploy/config.conf origin/migration:.config/cfg.toml
There are other handy shortcuts which you can use to name commits, one I find myself using often is :
@{u} : the upstream branch of current branch (e.g: origin/master if I currently am on master)
See git help revisions for an extensive documentation of the many ways to reach a commit.
Another command worth knowing is git difftool :
# open the same diff as above, but in an external diff viewer :
git difftool <commit sha>:path/to/file1 <commit sha>:path/to/file2
git difftool --tool=kdiff3 ...
IMHO, it particularly shines when comparing directories (note: your question did not ask to compare directories, just mentioning it for other occasions) :
# add the '-d' option :
git difftool -d <commit1> <commit2>
# for example: compare HEAD and its upstream branch
git difftool -d HEAD @{u}