Hmm.. I think that posting links to other forums (specially when registration is required to view posts) is not allowed, hence I'm copying and pasting contents from there. Credit goes to the original poster.
Section 1 : File Managers
Root Explorer
is the ultimate file manager for root users. Access the whole of android's file system (including the elusive data folder!). SQLite database viewer, Text Editor, create/extract zip files, multi-select, execute scripts, search, remount, permissions, bookmarks, email, thumbnails, APK binary XML viewer.
ASTRO File Manager
Features: File Manager, Backup, Image and text viewers, Networking, SMB, Bluetooth, SFTP, Zip Tar, downloader, thumbnails, search files, application manager, task manager, attachments
AndroZip Filie Manager
File manager, app backup, Task manager, search files, app installer, send files, app installer. Unpacks: ZIP, RAR, GZIP, TAR, BZIP2
Section 2 : Media Players
RockPlayer Universal
is an optimized video player for android system. It supports almost all popular video formats and has a really fast rendering engine. RockPlayer uses FFmpeg as its video decoder under permission of LGPL.
mVideoPlayer
- Subtitle Support (srt,ssa,ass,sub,mpl,psb,smi,txt) + internal(.mkv)
- Remembers exit point.
- Nice UI
Meridian Media Player
Advanced Video/Music player. Search lyric, subtitle, gesture, ID3 edit, rating, extra info, flac/ape, and more
Zimly Media Player
Video/Music player with remastered design
Music PlayerPro
Advanced music player for Android 2.x devices.
- Browse by albums/artists/genres/songs/playlists/folders
- Download album artwork/artist pictures/genre illustrations
- 7 SKINS
- Grid/list views
- Album/artist infos
- Lyrics
- Home/LockScreen widgets
- Scrobbler
- Sleep timer
PowerAMP Music Player
New powerful music player for Android.
- plays mp3/mp4/m4a(including lossless alac)/flac/ogg/wav/tta/ wma/ape/wv
- optimized 10 band graphic equalizer for all supported formats, separate Bass and Treble controls
- folders and system library support
- tag editor/widgets/lock screen/skins/fast scan and more
Section 3: Internet Browsers
Dolphin Browser HD
*Powerful Add-ons support
*Bookmarks Folder support
*Multi-touch pinch zoom
*Multi Tabs browsing
*Powerful Gestures
*Smart RSS Detection
*Colorful Theme packs support
*14 Languages support
*Unexpected Closed Tab Recovery
Dolphin Browserâ„¢ Mini (Beta)
*Gesture
*Multi-tab
*Multi-touch
*RSS Detection
*Bookmarks/History/Most Visited
*Flash Support for 2.2
Skyfire Web Browser
First Mobile Browser for the Social Networking Generation
• Vibrant Video
• Popular Content
• FireplaceTM Feed Reader
• Facebook Portal Integration
• Facebook Like Button
• Skyfire Search
More to come: Home Replacement Launchers, Photography, Keyboard Replacements.