A light background pattern with diagonal stripes. Here's a simple light striped background for you.
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
Medium gray pattern with small strokes to give a weave effect.
Source Catherine
Colorful Floral Background 3 No Black
Source GDJ
Prismatic Geometric Tessellation Pattern No Background
Source GDJ
To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Lovely pattern with some good-looking non-random noise lines.
Source Zucx
Dare I call this a «flat pattern»? Probably not.
Source Dax Kieran
It’s a hole, in a pattern. On your website. Dig it!
Source Josh Green
Bigger is better, right? So here you have some large carbon fiber.
Source Factorio.us Collective
A pattern formed from a squared tile. The tile can be accessed in Inkscape by selecting the rectangle and using shift-alt-i.
Source Firkin
Scanned some rice paper and tiled it up for you. Enjoy.
Source Atle Mo
Not the most creative name, but it’s a good all-purpose light background.
Source Dmitry
From a drawing in 'Studies for Stories', Jean Ingelow, 1864.
Source Firkin
Sort of reminds me of those old house wallpapers.
Source Tish
Here's a new paper-like background for free use on personal and commercial projects (this applies to all background patterns here).
Source V. Hartikainen
CC0 and a seamless pattern from a tile drawn in Paint.net .
Source SliverKnight
An interesting dark spotted pattern at an angle.
Source Hendrik Lammers
Number 5 in a series of 5 beautiful patterns. Can be found in colors on the submitter’s website.
Source Janos Koos
One more in the line of patterns inspired by Japanese/Asian styles. Smooth.
Source Kim Ruddock
A seamless marble-like texture colored in light blue.
Source V. Hartikainen
From a drawing in 'Les Chroniqueurs de l'Histoire de France depuis les origines jusqu'au XVIe siècle', Henriette Witt, 1884.
Source Firkin
Turn your site into a dragon with this great scale pattern.
Source Alex Parker
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin