In the spirit of WWDC 2011, here is a dark iOS inspired linen pattern.
Source Atle Mo
From a drawing in 'Navigations de Alouys de Cademoste.-La Navigation du Capitaine Pierre Sintre', Alvise da ca da Mosto, 1895.
Source Firkin
Not even 1kb, but very stylish. Gray thin lines.
Source Struck Axiom
Not a flat you live inside, like in the UK – but a flat piece of cardboard.
Source Appleshadow
Not even 1kb, but very stylish. Gray thin lines.
Source Struck Axiom
Remixed from a drawing in 'Some account of the Worshipful Company of Ironmongers', John Nicholl, 1866.
Source Firkin
From a drawing in 'At home', J. Sowerby, J. Crane and T. Frederick, 1881.
Source Firkin
Vertical lines with a bumpy, yet crisp, feel to it.
Source Raasa
To get the tile this is formed from select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
A free seamless background image with a texture of dark red "canvas". It should look very nice on web sites.
Source V. Hartikainen
Not the most creative name, but it’s a good all-purpose light background.
Source Dmitry
Number 2 in a series of 5 beautiful patterns. Can be found in colors on the submitter’s website.
Source Janos Koos
Formed from a tile based on a drawing from 'Viaggi d'un artista nell'America Meridionale', Guido Boggiani, 1895.
Source Firkin
A seamlessly repeating background pattern of wood. The image is procedurally generated, and, I think, it's turned out quite well.
Source V. Hartikainen
A seamless pattern formed from background pattern 102
Source Firkin
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Textured Red Brown Plastic, Free Background Pattern. Although there's already enough plastic in our lives, let's bring it to the web too.)
Source V. Hartikainen
This was formed by distorting an image of a background on Pixabay.
Source Firkin
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Prismatic Groovy Concentric Background 5
Source GDJ