A white version of the very popular linen pattern.
Source Ant Ekşiler
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
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Found on the ground in french cafe in kunming, Yunnan, china
Source Rejon
Nothing like a clean set of bed sheets, huh?
Source Badhon Ebrahim
Abstract Tiled Background Extended 10
Source GDJ
The tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
Made by distorting a simple pattern using the 'sin waves' plugin for Paint.net and vectorising in Vector Magic
Source Firkin
Heavy depth and shadows here, but might work well on some mobile apps.
Source Damian Rivas
This is a more minute version of "fishnet 01".The image depicts a seamless pattern of a fishnet with a plenty of fish.It may be a lucky charm for fishermen.
Source Yamachem
Sometimes you just need the simplest thing.
Source Fabricio
Remixed from a PNG that was uploaded to Pixabay by VictorianLady
Source Firkin
A nice and simple white rotated tile pattern.
Source Another One
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
The name tells you it has curves. Oh yes, it does!
Source Peter Chon
Not so subtle. These tileable wood patterns are very useful.
Source Elemis
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Prismatic Floral Background No Black
Source GDJ
A seamless pattern formed from a square tile. The tile can be retrieved by selecting the rectangle in Inkscape and using shift-alt-I.
Source Firkin
Prismatic Geometric Tessellation Pattern No Background
Source GDJ
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
Not the Rebel alliance, but a dark textured pattern.
Source Hendrik Lammers
Super detailed 16×16 tile that forms a beautiful pattern of straws.
Source Pavel