Carbon fiber is never out of fashion, so here is one more style for you.
Source Alfred Lee
This is the remix of "Background pattern 115" uploaded by "Firkin".Thanks.
Source Yamachem
A seamless pattern formed from a tile that can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
To get the repeating unit, select the rectangle in Inkscape and use shift+alt+i
Source Firkin
If you don’t like cream and pixels, you’re in the wrong place.
Source Mizanur Rahman
To get the tile this is based on, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
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
This seamless background image should look nice on websites. It has a dark blue gray texture with vertical stripes, it tiles seamlessly and, like all of the background images here, it's free. So, if you like it, take it!
Source V. Hartikainen
Seamless pattern formed from a tile that can be extracted by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
A free seamless background texture that looks like a brown stone wall.
Source V. Hartikainen
A seamless web texture of "green stone".
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
This metal background pattern resembles a metal plate with rivets. Solid rivets on a metal plate.
Source V. Hartikainen
Could remind you a bit of those squares in Super Mario Bros, yeh?
Source Jeff Wall
Prismatic Curved Diamond Pattern 8 No Background
Source GDJ
Prismatic Hypnotic Pattern 2 No Background
Source GDJ
Zero CC bark from fur tree tileable texture, photographed and made by me. CC0
Source Sojan Janso
Light square grid pattern, great for a “DIY projects” sort of website, maybe?
Source Rafael Almeida
This is indeed a bit strange, but here’s to the crazy ones!
Source Christopher Buecheler
Zero CC tileable hard cover green book, scanned and made by me. CC0
Source Sojan Janso
The green fibers pattern will work very well in grayscale as well.
Source Matteo Di Capua
The tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
A slightly grainy paper pattern with small horizontal and vertical strokes.
Source Atle Mo
Classic vertical lines, in all its subtlety.
Source Cody L