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

Picture viewer

A simple yet effective picture viewing application for android (but sadly removed from the market)

Ten Android applications I can't live without.

1. Robert.Developer's RMaps
Shows maps from different sources, and what most important, from loaded images you create using your desktop PC and are stored in sql db. Does not support tracking (yet!).

2. LYSESOFT's AndExplorer and AndFTP
Best file manager. Still missed many features, but it's a very high quality application. And an FTP client. I wonder, why they are not in a single application, but in my chart they share the same row.

3. egg 'n stone's CalWidget
It's a widget to show your current agenda from the calendar on the home screen.

4. Mike DG's dg QuickCut
It makes short cut to the dug activities of other applications. Thank to this shortcut creator you don't need anymore applications made just to replace already integrated functionality, such as WiFi on/off, Battery status.

5. Fognl's Greed (Lite)
Best RSS reader I found. It kinda slow, but allows me read the feeds I have collected in my Google Reader account.

6. EStrongs File Explorer
It lets you to transfer files to and fro the computers on your local network using the SMB (NetBIOS) protocol.

7. Meebo IM
Multiprotocol IM client. It not perfect, but it works fine.

8. zx128's AppManager
Allows you quickly uninstall an application. Feature I miss - add my application rating to the Android Market.

9. Kenny Root and Jeffrey Sharkey's ConnectBot
Excellent Local/Telnet/SSH terminal emulator.

10. farproc's Wifi Analyzer
Not for everyday use, but it allows you to choose a best channel for your access point.

There are some more applications I use everyday, but they have more defects and problems, so I'm still loking to something better to replace them.