We bought the Casino Exilim EX750 because we needed a lighter camera for my wife to carry. While I prefer a larger camera with all the bells and whistles, she prefers something small she can carry everywhere. To her credit, she takes a lot more pictures than I do. And the small package packs quite a bit of functionality, to the point that some of my larger cameras are still on the shelf when we go out for hike, or dinner with friends. The ultra compact camera is made mostly out of aluminum, and has a very solid feel. It feels good in your hand, but is not overly heavy- with the battery it's a little under 6oz. That makes it extremely comfortable to carry on a belt or a purse for say long walks at Disneyland.
The Exilim models have also received the JD Power 2007 Award for Highest in Customer Satisfaction with Ultra Slim Digital Cameras. I can see why. The dock acts as a charging station and picture transfer point. It shoots at 7.2 Megapixels, so we have very good image quality and there's not problem zooming in during photo editing. You can also take 640 x 480 pixels movies at 30FPS, which are stored in MPEG-4 format. 
I think the best feature for us would be the "Best Shot" modes, the camera does all the work on adjust for you. Check out the figure on the left. For the money and size footprint, you can't beat the Exilim.
You can read the manual here.
Memory capacity details:
Technical Specifications:
- Image Deletion: One image, all images
- Recording Element: 1/1.8" CCD-Chip (7.41 MP total / 7.2 MP effective)
- Image Resolution: Single image: 3,072 x 2,304/ 3,072 x 2,048 (3:2)/ 2,560 x 1,920 / 2,048 x 1,536 / 1,600 x 1,200 / 640 x 480
- Movie with sound: 640 x 480 (HQ / NORMAL) / 320 x 240 (LP)
- Lens: F2.8 (W) - 5.1 (T), f= 7.9 (W) - 23.7mm (T) (Approx. 38 - 114mm equivalent to 35mm film cameras), 7 lenses in 5 groups, including aspherical lens
- Zoom: 3 x optical zoom, 8x digital zoom (24 times both with optical and digital zoom)
- Aperture: F2.8 / 4.0, automatic
- Focusing: Contrast type AF
- Focus mode: Autofocus, Macro, Pan focus (only movie), Infinite, manual focus, Focus lock
- AF area: Spot/ Multi/ Free
- Focus Range: AF Normal / AF Movie: 40cm -
- Macro: 10cm - 50cm (W)
- Focus Mode: Contrast AF (Spot, Multi, Free), Manual focus, Pan focus (for movie only), Macro, Infinite
- Light Metering: Multi pattern, Center Weighted, Center Spot
- Exposure Control: Programmed AE, manual exposure
- Exposure Compensation: -2EV - +2EV by 1/3 EV steps
- Shutter: CCD electronic shutter, mechanical shutter
- Shutter speed: Program AE: 1/8 - 1/1600 sec.
- Aperture priority AE: 1 - 1/1600 sec.
- Shutter priority AE / manual exposure: 60 - 1/1600 sec.
- Sensitivity: Still ISO 50 / 100 / 200 / 400 (automatic/manual)
- Movie: Auto
- White Balance: Automatic, fixed (6 modes), manual switching
- Self-timer: 10 sec. / 2 sec. / triple self-timer
- Menu Language: German / English / Spanish / French / Italian / Portuguese / Japanese
- Recording Mode: Still picture: Still with audio (max. time 30 sec.), macro, self-timer, BEST SHOT (incl. ART SHOT, ID photo and Business Shot), Macro, Auto Macro, Continuous shooting (normal, zoom, multi)
- Video: Video with monaural audio, MOVIE BEST SHOT, Short Movie, Past Movie, MOTION PRINT, Movie Cut
- Additional Functions: Flash Assist function, Icon Help function, Autofocus assist light
- Audio (monaural): Microphone, speaker
- Flash System: Auto, manual-on, manual-off, Red Eye-Reduction
- Flash Range: Approx. 0.4 - 2.9 m (W), approx. 0.4 - 1.6 (T)
- Monitor/Viewfinder: 2.5 inch TFT color display (115,200 pixels - 480 x 240), Optical viewfinder
- Playback Functions: Enlarge, Resize, Trimming, Movie Playback, Movie Edit, MOTION PRINT, 9-picture display, Rotate, Calendar, Photo stand (Slide show), Customizable Startup screen, AV output
- Timekeeping Functions: Date and time recorded with image data; auto calendar up to 2049
- World Time: 162 cities (32 time zones); city names; date and time
- Others: EPSON USB-DIRECT PRINT, PictBridge, Auto power off, RGB histogram, album feature, favorites folder
- Communication: USB 2.0 (high-speed)
- Input/Output Terminals: USB-Cradle with AC-Adater, AV connection (NTSC/PAL compliant) via cradle
- Power Requirements: Rechargeable Lithium-Ion battery NP-40 (incl.), docking station with integrated power supply and charging function
- Battery Life (with Li-Ion battery): Normal Recording* - Approx 2 hr. 40 min., up to 325 shots (CIPA)
- Continuous Recording** - Approx. 3 hr. 10 min., approx. 740 shots
- Continuous Playback*** - Approx. 6 hr. 50 min.
- Continuous movie recording**** - Approx. 2 hr 50 min
- Voice recording***** - Approx. 6 hr. 50 min.
- Dimensions: 89 x 58.5 x 22.4 mm ( W x H x D, excluding protrusions)
- Weight: Approx. 127g (w/o Lithium-Ion battery and Memory-Card)
- Standard Accessories: USB docking station (CA-26), AC-Adapter for docking station, USB cable, AV-Cable, hand strap, rechargeable Lithium-Ion battery (NP-40), CD-ROM