The top photo is of the Mandalay Daybed at Williams-Sonoma Home. The basket weave rattan gives it a natural warmth while its rectilinear shape keeps things modern. Price: $299
The Taru Daybed from Z Gallerie has caned back and sides. Its canopy manages to make a simple piece of furnishing into a semi-private retreat. $799
The first two designs specify that they fit standard twin size mattresses. While we didn't confirm that for the third design from Padma's Plantation, its dimensions lead us to think the standard mattress would work with it, as well.