Sharp pixel pattern looking like some sort of fabric.
Source Dmitry
This metal background pattern resembles a metal plate with rivets. Solid rivets on a metal plate.
Source V. Hartikainen
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
More in the paper realm, this time with fibers.
Source Jorge Fuentes
Prismatic Hexagonalism Pattern No Background
Source GDJ
A very dark asfalt pattern based off of a photo taken with my iPhone.
Source Atle Mo
Here's a subtle marble-like background for use on websites.
Source V. Hartikainen
Design drawn in Paint.net, vectorised using Vector Magic and finished in Inkscape.
Source Firkin
A dark pattern made out of 3×3 circles and a 1px shadow. This works well as a carbon texture or background.
Source Atle Mo
A monochrome pattern from a tile that can be had by selecting the rectangle in Inkscaope and using shift+alt+i
Source Firkin
A beautiful dark padded pattern, like an old classic sofa.
Source Chris Baldie
Zero CC tileable pine bark texture, photographed and made by me. CC0
Source Sojan Janso
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
Source Firkin
There are many carbon patterns, but this one is tiny.
Source Designova
Colour version of the original pattern.
Source Firkin
Prismatic Geometric Pattern Background 2 No Black
Source GDJ
A seamless pattern that includes the original tile (go to Objects / Pattern / Pattern To Objects in Inkscape's menu to extract it).
Source GDJ