Sunlight-viewable / fast-refreshing screens aren't much of a thing yet, You can get cellphones with screens that are readable in the daylight if the conditions are optimal, but just barely readable, and not really ideal for concentrated use or multipurpose functionality. And none of these phones promote their screen's sunlight qualities, so I'm going to guess that this won't improve immediately since the market isn't demanding it.
That said, there were some really cool attempts at sunlight-viewable / fast-refresh screens a few years back. , and if any of them can get over the technological humps that they're saddled with, that tech could catch on as a breakthrough. The
Mirasol screen has been on and off the radar over the years, with disappointing color qualities that amongst other factors have had Qualcomm slow to push for a consumer product. The
Pixel Qi screen technology on the other hand has seen a market release (and had an infusion of interest from 3M,) but they were not able to go wide as they initially expected and reviews weren't glowing, so they're now mostly doing military hardware with a mod pack for netbooks available as well as a few lesser tablets.
Don't hold your breath for either technology (I was way into this stuff in 2009 and still don't own one,) but you never know what's coming down the pipe.
http://www.youtube.com/watch?v=j1EDs1gaYcw
http://www.youtube.com/watch?v=NotK4TVQ-6E
(Reflective screens is basically the operative word, by the way. An LCD or LED is a bunch of elements that light themselves up, and so they fight with the overpowering sun to be bright enough in contrast to see in daylight; a LED or transreflective screen reflects back the sun's sunlight, using all that daylight to its own advantage.)