Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
White little knobs, coming in at 10x10px. Sweet!
Source Amos
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
Dark, square, clean and tidy. What more can you ask for?
Source Jaromír Kavan
If you don’t like cream and pixels, you’re in the wrong place.
Source Mizanur Rahman
Colour version of a pattern that came out of playing with the 'light rays' plug-in for Paint.net
Source Firkin
A mid-tone gray pattern with some cement looking texture.
Source Hendrik Lammers
Prismatic Polka Dots Mark II 3 No Background
Source GDJ
Inspired by a pattern found in 'Sun Pictures of the Norfolk Broads', Ernest Suffling, 1892.
Source Firkin
To get the tile this is made up from select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Prismatic Hypnotic Pattern No Background
Source GDJ
A light background pattern with diagonal stripes. Here's a simple light striped background for you.
Source V. Hartikainen
Prismatic Groovy Concentric Background 4 No Black
Source GDJ
As far as fabric patterns goes, this is quite crisp.
Source Heliodor Jalba
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
This one has rusty dark brown texture.
Source V. Hartikainen
In the spirit of WWDC 2011, here is a dark iOS inspired linen pattern.
Source Atle Mo
The green fibers pattern will work very well in grayscale as well.
Source Matteo Di Capua
Never out of fashion and so much hotter than the 45º everyone knows, here is a sweet 60º line pattern.
Source Atle Mo
A seamless background drawn in Paint.net and vectorised with Vector Magic. The starting point was a photograph of drinking straws from Pixabay.
Source Firkin