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
Bright gray tones with a hint of some metal surface.
Source Hendrik Lammers
To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Prismatic Polka Dots Mark II No Background
Source GDJ
Like the name says, light and gray, with some small dots and circles.
Source Brenda Lay
Classic vertical lines, in all its subtlety.
Source Cody L
Nicely executed tiling for an interesting pattern.
Source Ignasi Àvila Padró
Background formed from the iconic plastic construction bricks that gave me endless hours of fun when I was a lad.
Source Firkin
And some more testing, this time with Seamless Studio. It’s Robots FFS!
Source Seamless Studio
From a drawing in 'Les Chroniqueurs de l'Histoire de France depuis les origines jusqu'au XVIe siècle', Henriette Witt, 1884.
Source Firkin
A hint of orange color, and some crossed and embossed lines.
Source Adam Anlauf
Square design drawn in Paint.net and vectorized in Vector Magic.
Source Firkin
Prismatic Snowflakes Pattern No Background
Source GDJ
A seamless pattern based on a square tile that can be retrieved in Inkscape by selecting the rectangle and using shift-alt-i.
Source Firkin
Light square grid pattern, great for a “DIY projects” sort of website, maybe?
Source Rafael Almeida
Design drawn in Paint.net, vectorised using Vector Magic and finished in Inkscape.
Source Firkin
This is the third pattern called Dark Denim, but hey, we all love them!
Source Brandon Jacoby
Carbon fiber is never out of fashion, so here is one more style for you.
Source Alfred Lee
ZeroCC tileable stone texture, edited from pixabay. CC0
Source Sojan Janso