Washi (和紙?) is a type of paper made in Japan. Here’s the pattern for you!
Source Carolynne
Zero CC tileable grass texture, photographed and made by me. CC0
Source Sojan Janso
Remixed from a drawing in 'A Child of the Age', Francis Adams, 1894.
Source Firkin
More tactile goodness. This time in the form of some rough cloth.
Source Bartosz Kaszubowski
Remixed from a drawing in 'Hungary. A guide book. By several authors', 1890.
Source Firkin
A seamless pattern the starting point for which was a 'rainbow twist' texture in Paint.net.
Source Firkin
From a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
This metal background pattern resembles a metal plate with rivets. Solid rivets on a metal plate.
Source V. Hartikainen
Colour version of the original seamless pattern.
Source Firkin
emixed from a JPG that was uploaded to Pixabay by Kyotime
Source Firkin
A background pattern inspired by designs seen in 'Burghley. The Life of William Cecil', William Charlton, 1857.
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
A black tile-able background with paper-like texture.
Source V. Hartikainen
A repeating background with dark brown stone-like texture and abstract pattern that looks like tree trunks.
Source V. Hartikainen
Luxury pattern, looking like it came right out of Paris.
Source Daniel Beaton
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Scanned some rice paper and tiled it up for you. Enjoy.
Source Atle Mo
A subtle shadowed checkered pattern. Increase the lightness for even more subtle sexiness.
Source Josh Green
Fabric-ish patterns are close to my heart. French Stucco to the rescue.
Source Christopher Buecheler
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin