The best way to list these file is using git status --porcelain.

For example:

git status --porcelain | awk 'match($1, "D"){print $2}' 

shows you the tracked files which have been deleted from the local copy. You can delete all these files by appending an appropriate command to the pipe:

git status --porcelain | awk 'match($1, "D"){print $2}' | xargs git rm

git diff --name-only SHA1 SHA2

where you only need to include enough of the SHA hash to identify the commits. The order of the SHAs does not matter. The output (which includes the relative path, not just the file name) follows this format:

 dir 1/dir 2/filename.ext
 dir 3/dir 4/other filename.ext

You can also do, for example

git diff --name-only HEAD~10 HEAD~5

to see the differences between the tenth latest commit and the fifth latest (or so).

Preferred Way (because it's a plumbing command; meant to be programmatic):

$ git diff-tree --no-commit-id --name-only bd61ad98 -r
index.html
javascript/application.js
javascript/ie6.js

Another Way (less preferred for scripts, because it's a porcelain command; meant to be user-facing)

$ git show --pretty="" --name-only bd61ad98    
index.html
javascript/application.js
javascript/ie6.js

• The --no-commit-id suppresses the commit ID output.
• The --pretty argument specifies an empty format string to avoid the cruft at the beginning.
• The --name-only argument shows only the file names that were affected (Thanks Hank). Use --name-status instead, if you want to see what happened to each file (Deleted, Modified, Added)
• The -r argument is to recurse into sub-trees