Media Tags is VERY usefull plugin.
Nevertheless, WP still has very stupid Media Library "search filter" in it's core. What do you think about these ideas for next functions in Media Library page and the pop-up window in Page/Post (inserting attachments):
- select box "Sort by: Date / Filename / ID / Title ...."
- select box "Sort: ASC / DSC"
- fulltext "Search media" capable searching through filenames, not only attachments' Titles