From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Very dark pattern with some noise and 45-degree lines.
Source Stefan Aleksić
One more in the line of patterns inspired by Japanese/Asian styles. Smooth.
Source Kim Ruddock
Derived from an image that was uploaded to Pixabay by mdmelo.
Source Firkin
Design drawn in Paint.net, vectorised using Vector Magic and finished in Inkscape.
Source Firkin
Embossed lines and squares with subtle highlights.
Source Alex Parker
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Background Wall, Art Abstract, Blue Well & CC0 texture.
Source Ractapopulous
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
Clover with background for St. Patrick's Day. Add to a card with a doily, ribbon, a leprechaun or other embellishments.
Source BAJ
You could get a bit dizzy from this one, but it might come in handy.
Source Dertig Media
Seamless pattern formed from a tile that can be extracted by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
Might not be super subtle, but quite original in its form.
Source Alex Smith
Don’t look at this one too long if you’re high on something.
Source Luuk van Baars
Like the name suggests, this background image consists of a pattern of dark bricks. It may be an option for you, if you are looking for something that looks like a brick wall for use as a background on web pages. It's not a masterpiece, but looks pretty nice when is tiled.
Source V. Hartikainen
Bigger is better, right? So here you have some large carbon fiber.
Source Factorio.us Collective
This one could be the shirt of a golf player. Angled lines in different thicknesses.
Source Olivier Pineda
Submitted in a cream color, but you know how I like it.
Source Devin Holmes
One more brick pattern. A bit more depth to this one.
Source Benjamin Ward
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
Source Firkin
Remixed from a drawing in 'The March of Loyalty', Letitia MacClintock, 1884.
Source Firkin
From a drawing in 'Two Women in the Klondike', Mary Hitchcock, 1899.
Source Firkin
Light square grid pattern, great for a “DIY projects” sort of website, maybe?
Source Rafael Almeida
A classic dark tile for a bit of vintage darkness.
Source Listvetra
Derived from elements found in a floral ornament drawing on Pixabay.
Source Firkin
A seamless pattern formed from a tile that can be had in Inkscape by selecting the rectangle and using shift+alt+i. Derived from a design in 'Storia del Palazzo Vecchio in Firenze', Aurelio Gotti, 1889.
Source Firkin