Panasonic GF2 vs Fujifilm X20

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Larger sensor
4/3 vs 2/3 inch
More sensor area. Bigger is (generally) better.
Bigger pixels
~ 4.33 vs 2.20 microns
Better low-light and dynamic range (all else equal)
Tiltable Screen
Tiltable vs Fixed
Tilt the screen for shooting flexbility
Thinner
32 mm vs 56 mm
Thinner
Longer exposure
60 vs 30 sec
Long exposures for night shots
Bigger JPEG buffer
Unlimited vs 11 shots
Take more JPEG shots before waiting (burst mode)

Focus peaking
Peaker vs Non-peaker
Your camera will highlight what's in focus
Less expensive
$600 vs $700 (MSRP)
Save money for lenses or accessories
Eye-level viewfinder
Eye-level vs Rear display only
You'll be able to frame photos even when the sun is out
In-Camera Image Stabilization
Yes vs No
Reduces the effects of camera shake at slower shutter speeds
In-camera panoramas
Yes vs No
Stitches multiple shots into a panoramic photo
On-sensor phase detect
Yes vs No
Usually improves live view and video AF performance
Higher max flash sync
1/1000 vs 1/160 sec
Reduce the effect of ambient light in flash shots
Shoots 1080p video
Yes vs No
You'll want this if you shoot video
Faster JPEG shooting
12.0 fps vs 2.6 fps
Faster JPEG shooting (burst mode)
Slow-motion videos
Yes vs No
Shoot slow-motion videos
Higher extended ISO
12800 vs 6400 ISO
Higher extended ISO can give more low-light flexibility

Rear display
Both provide
Review photos on the back of the camera
RAW file ability
Both provide
Gives you more flexibility to develop your photos later
Internal flash
Both provide
Useful in a pinch for fill flash
Manual focus
Both provide
AF is for the weak. Real photographers focus manually.
HDMI out
Both provide
Use HDMI output to monitor or review video
Hot shoe
Both provide
Off-camera flashes open new possibilities

Touchscreen
Neither provide
Interact with your camera just like your smartphone
Built-in Wi-Fi
Neither provide
Share your photos wirelessly
Built-in Bluetooth
Neither provide
Always-on wireless connectivity
Built-in GPS
Neither provide
Geotag your photos
Integrated ND filter
Neither provide
Shoot in daylight with a large aperture or slow shutter
External Mic Jack
Neither provide
Improved sound fidelity when shooting video
Dual card slots
Neither provide
Gives you more storage flexibility
Headphone jack
Neither provide
Monitor audio recording while you shoot video
Bulb shutter
Neither provide
Hold the shutter open manually for long exposures