@ImAChick
Of the breeds you listed, I think the Brahma and Jersey Giants won't lay as well as the ISA's, the Amberlinks, the RIR's, and the Australorps. Some EE's lay better than others, but they can lay green or blue eggs, which can be fun.
I personally like a variety of breeds in my flock. Different breeds have different characteristics that may appeal to different people. If you don't need the absolute top producers, I'd see which birds you like best. If egg production is your highest priority, then the ISA Browns and Amberlinks would be at the top of that list, but as
@sourland pointed out, their production life may not be as long as the purebreds (or supposed-to-be-purebreds, as hatchery stock isn't likely to have a pristine genetic line).
I like having an EE in my flock, but they tend to be flightier and more nervous than the other birds. The one I have right now I really love and is an excellent layer (her hybrid line is actually crossed with Leghorns so she probably lays more than your typical EE), but I had to clip one of her wings because she was making it over my 6-foot fence. I always have Red Sex-Links (like ISA Browns) in my flock, for the reasons
@briteday described. I had an Amberlink once and liked her. I like Australorps, they are supposed to lay very well for a purebred and to be docile. I haven't had any RIR's; I've heard they can be good producers but not always as docile. I haven't had any Jersey Giants as they are so large and don't lay exceptionally well, so the feed conversion (i.e., how much food a bird has to eat per egg she produces) isn't fantastic. I almost got a Buff Brahma this year because I wanted that color in my flock, but I in the end I bailed because of the feathered legs. I thought they'd get dirty (and icy, in my cold climate).
(I personally only keep my layers 1-2 years and then sell them, replacing them with new chicks. I have limited space and I don't want to be the one to retire them to the dinner table, so I like to re-home them when they still have production life left and then their new owners can decide what to do when their laying slows down.)
ETA: This is one of my favorite breed comparison resources. I use it alongside other resources when investigating breeds:
http://www.sagehenfarmlodi.com/chooks/chooks.html