Some more diagonal lines and noise, because you know you want it.
Source Atle Mo
Inspired by a pattern found in 'Sun Pictures of the Norfolk Broads', Ernest Suffling, 1892.
Source Firkin
Seamless pattern the tile for which can be had by using shift-alt-I on the selected rectangle in Inkscape.
Source Firkin
From a drawing in 'Resa i Afrika, genom Angola, Ovampo och Damaraland', P. Moller, 1899.
Source Firkin
The file was named striped lens, but hey – Translucent Fibres works too.
Source Angelica
Bigger is better, right? So here you have some large carbon fiber.
Source Factorio.us Collective
Remixed from a drawing in 'Paul's Sister', Frances Peard, 1889.
Source Firkin
No, not the band but the pattern. Simple squares in gray tones, of course.
Source Atle Mo
From an image on opengameart.org shared by rubberduck.
Source Firkin
A seamless pattern drawn originally in Paint.net by distorting a slice of background pattern 116 and copying the resulting triangle numerous times.
Source Firkin
Abstract Tiled Background Extended 10
Source GDJ
Remixed from a drawing that was uploaded to Pixabay by DavidZydd
Source Firkin
Derived from a corner decoration itself found as a jpg on Pixabay.
Source Firkin
Prismatic Groovy Concentric Background 3
Source GDJ
Just what the name says, paper fibers. Always good to have.
Source Heliodor jalba
A free pink background pattern.
Source V. Hartikainen
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
A tile-able background for websites with paper-like texture and a grid pattern layered on top of it.
Source V. Hartikainen
Number 5 in a series of 5 beautiful patterns. Can be found in colors on the submitter’s website.
Source Janos Koos
Colour version of the original seamless pattern.
Source Firkin
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Background Wall, Art Abstract, Blue Well & CC0 texture.
Source Ractapopulous