The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
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 was formed by distorting an image of a background on Pixabay.
Source Firkin
Beautiful dark noise pattern with some dust and grunge.
Source Vincent Klaiber
Remixed from a vector adapted from a jpg on Pixabay. The tile this is constructed from can be had by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
Seamless pattern formed from a tile that can be extracted by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
A mid-tone gray pattern with some cement looking texture.
Source Hendrik Lammers
Remixed from an image that was uploaded to Pixabay by CatherineClennan
Source Firkin
8 by 8 pixels, and just what the title says.
Source pixilated
Zero CC tileable brick texture, photographed and made by me. CC0
Source Sojan Janso
A lovely light gray pattern with stripes and a dash of noise.
Source V. Hartikainen
From a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
The name alone is awesome, but so is this sweet dark pattern.
Source Federica Pelzel
This tiled background comes in red and consists of tiles that look like gemstones. It is more for blogs or social profiles, I think.
Source V. Hartikainen
Did some testing with Repper Pro tonight, and this gray mid-tone pattern came out.
Source Atle Mo
Geometric triangles seem to be quite hot these days.
Source Pixeden
This was formed by distorting an image of a background on Pixabay.
Source Firkin
This one needs to be used in small areas; you can see it repeat.
Source Luca
Light honeycomb pattern made up of the classic hexagon shape.
Source Federica Pelzel
Not the Rebel alliance, but a dark textured pattern.
Source Hendrik Lammers