Apart from only 3x zoom, I would have said the Fujifilm Finepix F40 . I had the earlier F10 model & was impressed by ease of use, small size, large LCD & Photo quality.
Product Detail
The high resolution 8.3 Megapixel Super CCD gives you the freedom to crop and enlarge a face or a part of the scene while the quality remains impressive.
The advanced face detection mode can detect up to 10 faces in the shot and automatically optimizes the focus and exposure to take the best possible portrait shot.
A super fast ISO 2000 allows the camera perform better in low light conditions. A Picture stabilization mode can prevent blur from camera shake while the Natural Light/With Flash mode can take one shot with flash and one without.
Features
* 8.3 megapixels
* 3x Optical zoom
* 6.3x Digital zoom
* 2.5" LCD screen with anti-reflective coating
* 25MB internal memory
* Advanced Face Detection
* Picture Stabilization mode
* ISO2000 high sensitivity
* xD and SD memory card compatible
* Pictbridge
* 640x480 pixel 30 frames/sec. movies with sound