For it's price point and pixel count, the Canon PowerShot G3 (2002) produced pretty good images. Now that mine is 12 years old, it doesn't hold a charge anymore and getting a new battery seems like more trouble than its worth. I was initially considering replacing it with an entry to mid-level DSLR. After taking a look at the Nokia Lumia 1020, I can't help but wonder if this would be a better choice for me. I looked at both cameras in the store (though I only actually handled the Nokia), and I found the bulkiness of the DSLR's lens to be major concern (I am petite and have very small hands).
I have looked at what DPReview had to say about the Nokia and their main negative point (takes a long time to write out the image to memory, causing a noticeable delay between shots) doesn't seem any worse than my current camera. The only thing I've seen that I don't like is that there's no remote shutter.
I primarily shoot in AV mode with the lowest ISO setting I can get away with. My primary subject matter includes landscapes and animals. My dog in particular is very energetic, so I would like to make sure that whatever I choose is going to be able to keep up with him (quick zooming/autofocusing).
Here's a few of my favorite photos from the G3: