I recently had great success with rechargable lithium AAs. I had a bunch of microphones that take AAs, that have to run all day. Previously I’ve used disposable alkaline batteries and then either swap when they die (interrupting the speaker) or swap daily (wastes batteries).
I bought a bunch of these rechargable lithium AAs at $22 for 8 batteries, and put a freshly charged set in each mic everyday. It worked perfectly.
They come in lots of sizes. I don’t think I’d use them for something like a smoke detector or TV remote, but they would work well in a toy or flashlight that would burn through alkalines.
These are the ones I bought, purely based on the Project Farm testing, because I had to pick something, and reviews are hard to interpret.