Here I have tried to create something that would look like maple wood. Not sure how well it's turned out, but at least it looks like wood.
Source V. Hartikainen
To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
White circles connecting on a light gray background.
Source Mark Collins
That’s what it is, a dark dot. Or sort of carbon looking.
Source Tsvetelin Nikolov
Sort of like the back of a wooden board. Light, subtle, and stylish, just the way we like it!
Source Nikolalek
No idea what Nistri means, but it’s a crisp little pattern nonetheless.
Source Markus Reiter
First pattern tailor-made for Retina, with many more to come. All the old ones are upscaled, in case you want to re-download.
Source Atle Mo
Recreated from a pattern found in 'Az Osztrák-Magyar Monarchia irásban és képben', 1882. To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Continuing the geometric trend, here is one more.
Source Mike Warner
This was formed by distorting an image of a background on Pixabay.
Source Firkin
After 1 comes 2, same but different. You get the idea.
Source Hendrik Lammers
ZeroCC tileable wood boards texture, photographed and made by me. CC0
Source Sojan Janso
In the spirit of WWDC 2011, here is a dark iOS inspired linen pattern.
Source Atle Mo
From a drawing in 'Hubert Montreuil, or the Huguenot and the Dragoon', Francisca Ouvry, 1873.
Source Firkin
A web texture of brown canvas. Will look great, when used in dark web designs.
Source V. Hartikainen
Prismatic Curved Diamond Pattern 6 No Background
Source GDJ
Background Wall, Art Abstract, Blue Well & CC0 texture.
Source Ractapopulous
Abstract Stars Geometric Pattern Prismatic No Background
Source GDJ
Lovely light gray floral motif with some subtle shades.
Source GraphicsWall
I scanned a paper coffee cup. You know, in case you need it.
Source Atle Mo
It’s a hole, in a pattern. On your website. Dig it!
Source Josh Green
The classic notebook paper with horizontal stripes.
Source Are Sundnes
Alternative colour scheme. Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
It’s okay to be square! A nice light gray pattern with random squares.
Source Waseem Dahman
ZeroCC tileable mossy (lichen) stone texture, edited from pixabay. CC0
Source Sojan Janso
Background Wall, Art Abstract, Watercolor Vintage style CC0 texture.
Source Ractapopulous