If you don't mind cross breeds get hatching eggs for Rhode Island red crossed with Barred Plymouth rock (sometimes known as black rock, rhode rock, nera or miss pepperpot). They lay darkish large eggs, lot's of them, about 300 per year, have an excellent immune system, hens are not that large, and unlike many other hybrids keep on laying regularly for about 5 years and are amazing foragers. They are my preferred choice of hybrid layers.
If you want pure breeds that lay lots of darkish large eggs go for Rhode Island Red or barred plymouth rock.
If your not too fussed about how light the egg is, go for Light Sussex, they lay lots of large eggs, but are on the light brown/tinted side.