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
Remixed from a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
This is so subtle: We’re talking 1% opacity. Get your squint on!
Source Atle Mo
Prismatic Geometric Tessellation Pattern 3 No Background
Source GDJ
Simple gray checkered lines, in light tones.
Source Radosław Rzepecki
Oh yes, it happened! A pattern in full color.
Source Atle Mo
Made by distorting a simple pattern using the 'sin waves' plugin for Paint.net and vectorising in Vector Magic
Source Firkin
Utilising some flowers from Almeidah. To get the unit tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
From a drawing in 'A Guide to the Guildhall of the City of London', John Baddeley, 1898.
Source Firkin
From a drawing in 'Picturesque New Guinea', J Lindt, 1887.
Source Firkin
Just to prove my point, here is a slightly modified dark version.
Source Atle Mo
A white version of the very popular linen pattern.
Source Ant Ekşiler
Based on an image that was uploaded to Pixabay by devanath
Source Firkin
A pattern drawn in Paint.net and vectorized in Inkscape.
Source Firkin
Almost like little fish shells, or dragon skin.
Source Graphiste
Submitted as a black pattern, I made it light and a few steps more subtle.
Source Andy
Remixed from a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
You could get a bit dizzy from this one, but it might come in handy.
Source Dertig Media
Super detailed 16×16 tile that forms a beautiful pattern of straws.
Source Pavel
The rectangular tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
A background tile for web with abstract repeating texture of dark "stone wall".
Source V. Hartikainen
From a drawing in 'Sun Pictures of the Norfolk Broads', Ernest Suffling, 1892.
Source Firkin
Looks a bit like concrete with subtle specks spread around the pattern.
Source Mladjan Antic