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
A nice looking light gray background pattern with diagonal stripes.
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
Remixed from a design on Pixabay. To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i
Source Firkin
Abstract Stars Geometric Pattern Prismatic No Background
Source GDJ
An emulated “transparent” background pattern, like that of all kinds of computer graphics software.
Source AdamStanislav
The tile this fill pattern is based on can be had by using shift+alt+i on the rectangle.
Source Firkin
Vector version of a png that was uploaded to Pixabay by pencilparker
Source Firkin
Wild Oliva or Oliva Wilde? Darker than the others, sort of a medium dark pattern.
Source Badhon Ebrahim
Real snow that tiles, not easy. This is not perfect, but an attempt.
Source Atle Mo
Here's a brown background pattern with subtle stripes. I hope you'll like the color. If not, feel free to change it using an image editor, if you know how of course. Personally, I'm using GIMP to create these backgrounds.
Source V. Hartikainen
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
Utilising some flowers from Almeidah. To get the unit tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Vertical lines with a bumpy, yet crisp, feel to it.
Source Raasa
Nicely crafted paper pattern, although a bit on the large side (500x593px).
Source Blaq Annabiosis
It’s okay to be square! A nice light gray pattern with random squares.
Source Waseem Dahman
Otis Ray Redding was an American soul singer-songwriter, record producer, arranger, and talent scout. So you know.
Source Thomas Myrman
From a drawing in 'At home', J. Sowerby, J. Crane and T. Frederick, 1881.
Source Firkin
This is so subtle: We’re talking 1% opacity. Get your squint on!
Source Atle Mo
Adapted heavily from a JPG that was uploaded to Pixabay by Viscious-Speed.
Source Firkin
More in the paper realm, this time with fibers.
Source Jorge Fuentes
Vector version of a png that was uploaded to Pixabay by pencilparker
Source Firkin
From a drawing in 'Cowdray: the history of a great English House', Julia Roundell, 1884.
Source Firkin
Seamless Olive Green Web Background Image
Source V. Hartikainen