Sorry about your camera. I also had a nice camera that broke (eventually the screen became dimmer and dimmer) but I agree, it isn't worth putting the money in to fix them when there are always new models with more features.
The first digital camera I used was a Sony. It was the kind where you put a floppy disk in it! That's hard to imagine now. But I was happy with the ease of use of that Sony and now I'm on my third Sony digital camera. Right now I have a Sony DSC-H9. This model is referred to as an advanced point-and-shoot because you can let the camera do all the work or you can adjust a lot of the settings yourself. I like it because it has a zoom lens, it can be set to aperture priority (my favorite setting) or you can use the shutter priority or the auto setting. Using the aperture priority with exposure compensation, I can get just about any shot I want. The camera also takes pretty good videos too. It's small and lightweight. I can take it on a hike without getting tired of carrying it around.
I would suggest going to Digital Camera Reviews and News: Digital Photography Review: Forums, Glossary, FAQ
to check out features of various cameras. In the left column you can click on a buying guide (I suggest starting out with the Features Search), a side-by-side comparison of different camera's features, a list of cameras available by brand, and reviews and owner's comments.