Not so subtle. These tileable wood patterns are very useful.
Source Elemis
You don’t see many mid-tone patterns here, but this one is nice.
Source Joel Klein
To get the tile this is based on, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
A good starting point for a cardboard pattern. This would work well in a variety of colors.
Source Atle Mo
Textured Red Brown Plastic, Free Background Pattern. Although there's already enough plastic in our lives, let's bring it to the web too.)
Source V. Hartikainen
A seamless pattern formed from cross 4. To get the original tile select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
From a drawing in 'Artists and Arabs', Henry Blackburn, 1868.
Source Firkin
High detail stone wall with minor cracks and specks.
Source Projecteightyfive
Colour version of a pattern that came out of playing with the 'light rays' plug-in for Paint.net
Source Firkin
Prismatic Snowflakes Pattern No Background
Source GDJ
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Bigger is better, right? So here you have some large carbon fiber.
Source Factorio.us Collective
Remixed from a drawing that was uploaded to Pixabay by ractapopulous
Source Firkin
From a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
Prismatic Floral Background No Black
Source GDJ
Here's an yet another seamless note paper texture for use as a background on websites.
Source V. Hartikainen
CC0 and seamless wellington boot pattern.
Source SliverKnight
Retro Circles Background 7 No Black
Source GDJ
Alternative colour scheme for the original floral pattern.
Source Firkin
Everyone loves a diamond, right? Make your site sparkle.
Source AJ Troxell
A repeating background of beige (or is it more vanilla yellow) textured stripes. One more background with stripes.
Source V. Hartikainen
Background Wall, Art Abstract, Blue Well & CC0 texture.
Source Ractapopulous
The name alone is awesome, but so is this sweet dark pattern.
Source Federica Pelzel
This one is quite simple in design, it consists of vertical stripes layered on top of a seamless texture.
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
Crossing lines with a subtle emboss effect on a dark background.
Source Stefan Aleksić