- username of a moderator who made the deletion (for an easier contact),
- add a link to the thread from which post was deleted (to make it easier to find),
- add an annotation in the thread from which post was deleted,
- add the reasons for deletion.
I do not support including the name of the moderator who deleted the post for a number or reasons. In peculiar cases where the relevance of a post is debatable it may need further discussions, but majority of deleted posts are worthy of the action, and including the name if the mods could expose them to lots of backlash and unsolicited PMs, especially those that operate in the spam filled boards.
AFAIK, the name of the mods who handles any action on the forum (ban, post deletion,of nuking) is not made public to avoid personalizing the decisions they make.
I have no issues with the second and third suggestions.
The fourth however would be too bulky to handle.