I love the Canon G series. I've owned a few of them and currently have a G16 that I got from KEH earlier this year for around $300. I've used a few of the earlier models as well. They are well-designed and beautifully made. The G16 is small but not too small - fits in the palm of my hand, but the controls are not too small or fiddly. It has front and rear control dials, an ISO button, exposure compensation dial, a quick menu button, custom settings - in other words, the important settings are easily accessible without diving deep into menus. (I set mine to step zoom, set it to the 35mm focal length (35mm equivalent), looked up the hyperfocal distance online - about 5 feet I think - and measured that off, manually focused at that distance, and saved those settings as a custom setting for street shooting.) The G16 has a fast 5x IS zoom lens, great raw files and the jpegs aren't bad either. I love the color rendition and the way it handles noise. It has fast auto focus, fast burst rate and a good buffer if for action shots, focus peaking, and wi-fi. Not bad for an eleven year old digital camera. Also, the built in lens cover means not having to worry about losing a lens cap, or forgetting to put it on before throwing it in a bag or pocket. It's a great little camera.
I also have a Panasonic LX7 and though it's a bit smaller and has a faster lens, I don't like it as much as the Canon G16, though that might be a bit unfair because the the LX7 was released a year before the G16 - but I liked the G15 better too, a contemporary of the LX7, which has the same lens as the G16. The Canons have a VF, the Panasonic does not. The Canons feel better in the hand, like a real camera, great ergonomics, and I like the images they make better. More film like to my eyes.
But having said that, the LX7 is a good camera too. I use mine mostly for work. I retired from GIS but still do some land surveying and a picture is worth several thousand words when doing ALTA and topographic surveys. I can use the iA mode with confidence and let the camera choose the settings, knowing I'll get well exposed detailed shots that I can magnify to look at details, and the colors are accurate. The LX-7 is also my go with camera when I don't really plan on shooting but want to have a camera with me just in case. It is just a bit smaller than the Canon and I use a wrist strap with it. For travelling, or when going out with the intention to do some digital photography for fun, I'll take the Canon.
BTW, I also really like the Fuji X20! I know that's not much help. It's a difficult decision. There are so many good choices. It depends on your needs, preferences, and what's available. Good luck.