Yes, Google it. It is your friend. I just found it already.
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There's nothing more to add, I think. Personally, I wouldn't settle for Wine workarounds for something as basic as a bitmap editor. I use Wine when I have no other choice, like the debugging features in FCEU, or some very specific software that runs only on Windows. Either you are too selective about what you are looking for, or there is simply nothing in existence for your needs. It happens. Here's the list:
- Graphics Converter (use a crack if you don't want to pay to avoid the 30 seconds delay at launch)
- Pixelmator (probably too advanced for what you want, but still a kickass app)
- Pixen (seems to be exactly what you're looking for, for 10$)
- Go to macupdate.com and search
- Go to the App Store and search
Is good old Gimp not an option here? I am by no means a pixel artist and just occasionally need the tools of one but it supports working with a constrained palette, exports and imports most formats that matter, has gridlines if you want them and can kick gradients/blended colours in the head if needs be (or you can at least tell it to not use them), does layers, does animations and is free which is always nice. Normally I would not have suggested it but if you were holding up paint.net as a viable candidate then this would be too.
Alternatively you have things like http://www.aseprite.org/older-versions/ (the program is open source but adopted the paywall approach for newer versions). I can not say I have bothered to try such things on a mac though.
I'm more of a vector graphics guy, but from the top of my head, Graphics Converter does bitmap with the usual tools, however it may not be specialized in that sort of things. There's also Pixelmator, which is quite advanced. If all else fails, use fire. I mean, go to macupdate.com and search for keywords such as "bitmap" or "pixel". I got a few interesting results with "pixel", including free ones...
I only count 5. The "sixth" is a message that gets displayed when your save data's checksum fails. It comes right after the five you've dumped: