Horizontal and vertical lines on a light gray background.
Source Adam Anlauf
This seamless light brown background texture resembles a wallpaper with vertical stripes. One way to use it is as a tiled background on web sites.
Source V. Hartikainen
Very dark pattern with some noise and 45-degree lines.
Source Stefan Aleksić
Sharp pixel pattern looking like some sort of fabric.
Source Dmitry
Not sure if this is related to the Nami you get in Google image search, but hey, it’s nice!
Source Dertig Media
The tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
You know you can’t get enough of these linen-fabric-y patterns.
Source James Basoo
The image is a seamless pattern of a fishnet.
Source Yamachem
Abstract Arbitrary Geometric Background derived from an image on Pixabay.
Source GDJ
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
Imagine you zoomed in 1000X on some fabric. But then it turned out to be a skeleton!
Source Angelica
Light square grid pattern, great for a “DIY projects” sort of website, maybe?
Source Rafael Almeida
A pattern formed from a photograph of a 16th century ceramic tile.
Source Firkin
Seamless Prismatic Geometric Pattern With Background
Source GDJ
Just to prove my point, here is a slightly modified dark version.
Source Atle Mo
Black & white version of a pattern that came out of playing with the 'light rays' plug-in for Paint.net
Source Firkin
These dots are already worn for you, so you don’t have to.
Source Matt McDaniel
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Prismatic Curved Diamond Pattern 7 No Background
Source GDJ
Zero CC tileable Crackled Cement (streaks) texture, photographed and made by me. CC0
Source Sojan Janso
One more updated pattern. Not really carbon fiber, but it’s the most popular pattern, so I’ll give you an extra choice.
Source Atle Mo
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
A seamless pattern formed from a sports car on clker.com. To get the tile, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin