A seamless gray background texture suitable for use on websites. To me, it has the look of stone. Feel free to modify it to meet your needs (by making it a bit lighter or darker, for example).
Source V. Hartikainen
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Prismatic Groovy Concentric Background 4 No Black
Source GDJ
Paper pattern with small dust particles and 45-degree strokes.
Source Atle Mo
White fabric looking texture with some nice random wave features.
Source Hendrik Lammers
A seamless pale yellow paper background with a pattern of animal tracks.
Source V. Hartikainen
The square tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
Light and tiny, just the way you like it.
Source Rohit Arun Rao
Colored maple leaves scattered on a surface. This is tileable, so it can be used as a background or wallpaper.
Source Eady
Just to prove my point, here is a slightly modified dark version.
Source Atle Mo
Black brick wall pattern. Brick your site up!
Source Alex Parker
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
One more brick pattern. A bit more depth to this one.
Source Benjamin Ward
Feel free to download and use it, or see the rest of the dark background patterns that I have made. Anyway, I hope you will find something that you like.
Source V. Hartikainen
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
The name alone is awesome, but so is this sweet dark pattern.
Source Federica Pelzel
A light gray fabric pattern with faded vertical stripes.
Source V. Hartikainen
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
A free seamless background image with abstract texture of green "curtain".
Source V. Hartikainen
It has waves, so make sure you don’t get sea sickness.
Source CoolPatterns
Paper pattern with small dust particles and 45-degree strokes.
Source Atle Mo
Submitted in a cream color, but you know how I like it.
Source Devin Holmes
A seamless pattern with green and yellow diagonal lines on top of a white dotted background.
Source V. Hartikainen