A repeating background with dark brown stone-like texture and abstract pattern that looks like tree trunks.
Source V. Hartikainen
A dark gray, sandy pattern with small light dots, and some angled strokes.
Source Atle Mo
Small gradient crosses inside 45-degree boxes, or bigger crosses if you will.
Source Wassim
Tiny circle waves, almost like the ocean.
Source Sagive
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
On a large canvas you can see it tiling, but used on smaller areas, it’s beautiful.
Source Paul Phönixweiß
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 seamless pattern formed from miutopia mug remixes on a tablecloth.
Source Firkin
Vector version of a png that was uploaded to Pixabay by pencilparker
Source Firkin
This background pattern contains a seamless texture of bark. It's not very realistic, but I think it looks quite nice.
Source V. Hartikainen
I took the liberty of using Dmitry’s pattern and made a version without perforation.
Source Atle Mo
The image depicts a seamless pattern of Japanese Edo pattern called "kikkou-matsu" or "亀甲松" meaning " tortoiseshell-pinetree".The real pinetree is like this: https://jp.pinterest.com/pin/500744052301065077/
Source Yamachem
Tiny little fibers making a soft and sweet look.
Source Badhon Ebrahim
Prismatic Groovy Concentric Background 3 No Black
Source GDJ
More tactile goodness. This time in the form of some rough cloth.
Source Bartosz Kaszubowski
From a drawing in 'Navigations de Alouys de Cademoste.-La Navigation du Capitaine Pierre Sintre', Alvise da ca da Mosto, 1895.
Source Firkin
I guess this one is inspired by an office. A dark office.
Source Andrés Rigo.
From an image on opengameart.org shared by rubberduck.
Source Firkin
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Prismatic Polyskelion Pattern No Background
Source GDJ
Prismatic Curved Diamond Pattern 8 No Background
Source GDJ
Dark pattern with some nice diagonal stitched lines crossing over.
Source Ashton
From a design found in 'History of the Virginia Company of London; with letters to and from the first Colony, never before printed', Edward Neill, 1869.
Source Firkin
A bit like some carbon, or knitted netting if you will.
Source Anna Litvinuk