Android application I recommend

RealCalc Scientific Calc - very good calculator (does RPN too)

QuickPic - picture viewer

Bookmark Tree Manager - organizes the browser's bookmarks in to a hierarchy

 ColorDict Dictionary  - offline dictionary

Cool Reader - very good e-books reader

Google Goggles - scans pictures, labels, QR codes, BAR-codes, texts and gives the digital result or links

Google Translate - online translator (input text can be spoken or drawn)

StopWatch & Timer - it is

Radar Now!  - shows the weather radar. Good way to know will be there rain or it will pass by

TuneIn Radio Pro - radio - music and talks from all over the world

Wikipedia - it is

andLess - good music player - plays physical folders, not stupid libraries

Greed  - RSS reader. All favorite news and digests in one place

2X Client RDP - remote desktop client. Works very well

My-Cast Weather - best weather application I've found

Libra - Weight Manager  - just record your everyday weight change

Ghost Commander File Manager - file manager (copy move organize files (music, book, pictures, etc.)). FTP client

SMB plugin for Ghost Commander - a plugin to the above to connect to windows network shares

FTPServer - FTP server. Lets you connect from your PC to the phone to transfer files

KeePassDroid - stores your passwords and other sensitive data (SSN, etc.) encrypted

 Mileage - records the car fueling and shows the mileage charts

Photo Slides (Photo Frame) photo slide show. (If you practice a martial art or similar you can have a set of photos of positions and then exercise by following the pictures the app shows in sequence)

Wifi Analyzer - show how strong the WiFi networks nearby. May be it's a good idea to change the freq. channel for your own network?

 Screen Filter - makes the display even more dimmer

Pedometer ***NEW*** - counts your steps while you're running or walking

Quick System Info PRO - shows comprehensive information about your phone, processes, services, applications and network connections

TV Listings for Android TV24 - browse the current TV schedule