If you like it a bit trippy, this wave pattern might be for you.
Source Ian Soper
Here's a quite bright pink background pattern for use on websites. It doesn't look like a real fur, but it definitely resembles one.
Source V. Hartikainen
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
Prismatic Curved Diamond Pattern 5 No Background
Source GDJ
From a drawing in 'Artists and Arabs', Henry Blackburn, 1868
Source Firkin
Formed by distorting an image on Pixabay that was uploaded by gustavorezende. To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Fabric-ish patterns are close to my heart. French Stucco to the rescue.
Source Christopher Buecheler
From an image on opengameart.org shared by rubberduck.
Source Firkin
The square tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
A pattern derived from repeating unit cells each derived from part of a fractal rendering in paint.net.
Source Firkin
More Japanese-inspired patterns, Gold Scales this time.
Source Josh Green
Nicely crafted paper pattern, although a bit on the large side (500x593px).
Source Blaq Annabiosis
Prismatic Geometric Pattern Variation 2 With Background
Source GDJ
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 and simple white rotated tile pattern.
Source Another One
Seamless pattern the tile for which can be had by using shift-alt-I on the selected rectangle in Inkscape.
Source Firkin
Beautiful dark noise pattern with some dust and grunge.
Source Vincent Klaiber
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
Source Firkin
As simple and subtle as it gets. But sometimes that’s just what you want.
Source Designova
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin