From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Lovely light gray floral motif with some subtle shades.
Source GraphicsWall
Sharp diamond pattern. A small 24x18px tile.
Source Tom Neal
Basket Fibers, Basket Texture, Braid Background style CC0 texture.
Source 1A-Photoshop
f you want png files of this u can download them here : viscious-speed.deviantart.com/gallery/27635117
Source Viscious-Speed
A repeating background of beige (or is it more vanilla yellow) textured stripes. One more background with stripes.
Source V. Hartikainen
Sharp pixel pattern, just like the good old days.
Source Paridhi
Can never have too many knitting patterns, especially as nice as this.
Source Victoria Spahn
Turn your site into a dragon with this great scale pattern.
Source Alex Parker
From a drawing in 'Sun Pictures of the Norfolk Broads', Ernest Suffling, 1892.
Source Firkin
The first pattern on here using opacity. Try it on a site with a colored background, or even using mixed colors.
Source Nathan Spady
From a drawing in 'Gately's World's Progress', Charles Beale, 1886.
Source Firkin
From a drawing in 'Les Chroniqueurs de l'Histoire de France depuis les origines jusqu'au XVIe siècle', Henriette Witt, 1884.
Source Firkin
Bigger is better, right? So here you have some large carbon fiber.
Source Factorio.us Collective
Sharp pixel pattern looking like some sort of fabric.
Source Dmitry
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
This is the remix of "Background pattern 115" uploaded by "Firkin".Thanks.
Source Yamachem
A light gray fabric pattern with faded vertical stripes.
Source V. Hartikainen
The image depicts a Japanese Edo pattern called "kanoko or 鹿の子" meaning "fawn" which has a fur with small white spots.
Source Yamachem
Utilising some flowers from Almeidah. To get the unit tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin