My first halfway decent digital camera was a Nikon 7600 point n shoot. It produced pretty decent images for the time, but the "boot" time was a real killer. It was nearly impossible to catch a "moment" with it. Battery life was terrible, until I realized that it actually *liked* the rechargeables, so much that I could get many more shots per set than with the disposable ones. I kept one fresh set in the camera, and two spare pairs in the very small bag. If not for the startup lag, it would have been a nice little rig.
I kept a Pentax K1000 handy when I could, because I could get it on target and ready to shoot a LOT faster.
I upgraded to an EOS Rebel XSi a couple years ago, and the battery does splendidly, and by the time I've switched the power on and raised it to my eye, it's ready to shoot. I really do like this camera, and use it a good bit for when I want to get a lot of photos and I'm not too terribly worried about how well the shots will enlarge.
My Nikon FM10, for those who are familiar with it, only uses its watch battery for the meter. I like the relatively carefree way I can take photos with it, so long as I have film handy, without having to worry about whether the battery is charged, making sure I have my card reader, etc. While it's sometimes a pain, waiting to get my film developed, I really do like the results, well enough that my EOS dslr can't completely replace it.
I also have an EOS Rebel X, had it for a few years. It takes two CR123 batteries. While I like the camera pretty well, I've often cussed Canon for saddling me with these things. I'd much rather have been able to re-purpose my rechargeable AAs.