The full list of custom 60% boards is enormous. Off the top of my head (not including what's in your post), there's the b.Face, LZCE, Duck Viper, Duck Eagle, GON NerD60, and probably like 10-15 more. I've been out of the loop.
The GH60 was a community project here on GH. Infinity, I don't know a lot about, but I wouldn't be surprised if it's another Chinese community project. They tend to do that a lot (The poker and pure are both spawned out of users on KBC and KBT, two major chinese keyboard forums)
GH60 is probably your best bet as far as your parameters go. If you want bluetooth the only real option is the GON, but good luck getting one. He's been really bad about shipping stuff lately.
Most of them will have backlight capability (I think the Rev. B GH60 PCBs have an issue with it though, check the thread for more info). I can't think of one that sticks out to me as not having it. Maybe some of the older Korean boards. RGB is fairly rare, but the b.face has it in the case.
Fn layer is almost implied at this point. 61 keys just isn't enough for most people.
Macros, I'm not sure about. You can probably get those with any keyboard and an afternoon with autohotkey.
As far as layouts, you'll have to look at it on a case-by-case basis. I think it's more dependent on if you want a plate or not, really.
I probably misread your post because I basically just woke up, but I think that covers a lot of it.