Fruits of 'Idared' have been lasting the longest (on the trees) here on Camano Island.

At my location, I really like the English Apple 'Suntan'. It has some russet and a very sharp flavor. More acid than some would like, but it is also a good keeper and annually productive.
Another real good one for keeping, is Melrose, but it does get a little bit of scab, so will need a bit of spraying
One more I like is Roxbury Russet, a good keeper that ripens late and flavor is very rich, when full ripe. May not make it along the coast in cooler yards, but does fine at my site.