iFile
iFile is a file manager with capabilites to email, edit, delete, copy, cut, paste, rename, view, compress, uncompress, install and transfer files. iFile on Twitter
Features of iFile

Integrated File Browser with support for
Creation, deletion, copy, cut (move), paste or zipping of multiple files or directories at once
Renaming of files or directories
Bookmarking of files and folders
Searching files hierarchically
Emailing of one or more files with Apple MobileMail
Editing of text files, HTML files and property list files
Editing of file attributes (name, owner, group, permission, modification date)
File passing to other AppStore apps
Opening of files of various file types from other apps in iFile
Up to 8 file browser tabs
Full integration of Dropbox with support for copy, cut, paste, directory creation, file renaming and local caching
Integrated Web Server with download and upload capability for files to current directory of File Browser
WebDAV support of Web Server to use iFile as network drive
File transfer via Bluetooth to iFile on other device
File transfer via Celeste to another device
Import of songs, videos and books into iPod library via Gremlin library
Installation of Debian packages (deb)
Extraction of various compressed file types including password protected zip and rar files.
File Viewers with support for following file types
Sound File Types: aac, aiff, aif, aifc, amr, alac, caf, m4a, m4r, mp2, mp3, mpga, pcm, snd, wav, wma
Text File Types: c, cfg, cnf, conf, cpp, css, h, j, java, js, list, log, m, mm, nib, php, plist, script, sh, strings, txt, xib
Movie File Types: mov, mp4, mpv, m4v, 3gp, 3g2, 3gpp2
Image File Types: gif, jpeg, jpg, png, tiff, tif, bmp, crw, cr2, erf, raf, 3fr, kdc, mef, mrw, nrw, nef, orf, rw2, pef, arw, sr2, svg
Document File Types: rtf, html, htm, pdf
Microsoft File Types: doc, docx, xls, xlsx, ppt, pps, pptx
Apple iWork File Types: pages, numbers, key
Other File Types: zip, 7z, deb, rar, tar, tar.gz, tar.bz2, tar.Z, tgz, tbz2, gz, bz2, Z, xml
File Types via External Viewers:
SQLite3: sqlite3, sqlitedb, db (available here or in Cydia)
Interaction with other Tweaks/Applications (Cydia):
Safari Download Manager: Allows to open saved files directly in iFile.
AttachmentSaver: Allows to open saved files directly in iFile.
Music Controls: allows to interact with iFile's Audio Player e.g. on Lock Screen etc.