There are many carbon patterns, but this one is tiny.
Source Designova
Alternative colour scheme. Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
It’s an egg, in the form of a pattern. This really is 2012.
Source Paul Phönixweiß
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Small dots with minor circles spread across to form a nice mosaic.
Source John Burks
Super subtle indeed, a medium gray pattern with tiny dots in a grid.
Source Designova
Remixed from a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
A comeback for you: the popular Escheresque, now in black.
Source Patten
A seamless chequerboard pattern formed from a tile that can be had in Inkscape by selecting the rectangle and using shift+alt+i. Alternative colour scheme.
Source Firkin
If you want png files of this u can download them here : viscious-speed.deviantart.com/gallery/27635117
Source Viscious-Speed
Prismatic Polka Dots Mark II 2 No Background
Source GDJ
A grid of squares with green colours. Since the colours are randomly distributed it is automatically seamless.
Source Firkin
Black brick wall pattern. Brick your site up!
Source Alex Parker
Sort of like the back of a wooden board. Light, subtle, and stylish, just the way we like it!
Source Nikolalek
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Nice and simple crossed lines in dark gray tones.
Source Stefan Aleksić
From a drawing in 'Bond Slaves. The story of a struggle.', Isabella Varley, 1893.
Source Firkin
Background Wall, Art Abstract, white Well & CC0 texture.
Source Ractapopulous
Remixed from a drawing in 'Works. Popular edition', John Ruskin, 1886.
Source Firkin
Here's a new paper-like background for free use on personal and commercial projects (this applies to all background patterns here).
Source V. Hartikainen
Prismatic Geometric Pattern Variation 2 With Background
Source GDJ
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
A seamless canvas texture for using as background on websites. Colored in pale tones of brown.
Source V. Hartikainen