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
Simple gray checkered lines, in light tones.
Source Radosław Rzepecki
Prismatic Geometric Pattern Background 2
Source GDJ
Seamless pattern formed from a tile that can be had by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
A new take on the black linen pattern. Softer this time.
Source Atle Mo
Zero CC tileable dry grass texture, photographed and made by me. CC0
Source Sojan Janso
From a drawing in 'Cowdray: the history of a great English House', Julia Roundell, 1884.
Source Firkin
Never out of fashion and so much hotter than the 45º everyone knows, here is a sweet 60º line pattern.
Source Atle Mo
A lot of people like the icon patterns, so here’s one for your restaurant blog.
Source Andrijana Jarnjak
Remixed from a drawing in 'Prehistoric Man: researches into the origin of civilisation in the old and the new world', Daniel Wilson, 1876.
Source Firkin
A version without colours blended together to give a different look.
Source Firkin
Prismatic Basic Pattern 2 No Background
Source GDJ
Abstract Ellipses Background Grayscale
Source GDJ
Smooth Polaroid pattern with a light blue tint.
Source Daniel Beaton
Remixed from a drawing in 'Some account of the Worshipful Company of Ironmongers', John Nicholl, 1866.
Source Firkin
Orange-red pattern for tiled backgrounds.
Source V. Hartikainen
I have no idea what J Boo means by this name, but hey – it’s hot.
Source j Boo
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
Prismatic Abstract Geometric Background 4 No Black
Source GDJ
Clean and crisp lines all over the place. Wrap it up with this one.
Source Dax Kieran