Seamless pattern the tile for which can be had by using shift-alt-I on the selected rectangle in Inkscape.
Source Firkin
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
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
Just like your old suit, all striped and smooth.
Source Alex Berkowitz
Washi (和紙?) is a type of paper made in Japan. Here’s the pattern for you!
Source Carolynne
Remixed from a drawing in 'The Canadian horticulturist', 1892
Source Firkin
Geometric lines are always hot, and this pattern is no exception.
Source Listvetra
This is so subtle I hope you can see it! Tweak at will.
Source Alexandre Naud
To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
I took the liberty of using Dmitry’s pattern and made a version without perforation.
Source Atle Mo
A mid-tone gray pattern with some cement looking texture.
Source Hendrik Lammers
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
Prismatic Polka Dots 3 No Background
Source GDJ
A seamless texture of an abstract wall colored in shades of light orange brown.
Source V. Hartikainen
A seamless background pattern with impressed gray dots.
Source V. Hartikainen
There are quite a few grid patterns, but this one is a super tiny grid with some dust for good measure.
Source Dominik Kiss
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Prismatic Curved Diamond Pattern 7 No Background
Source GDJ
There are many carbon patterns, but this one is tiny.
Source Designova
The name alone is awesome, but so is this sweet dark pattern.
Source Federica Pelzel
Bit of a strange name on this one, but still nice. Tiny gray square things.
Source Carlos Valdez
An abstract web texture of a polished blue stone (or does it look more like ice).
Source V. Hartikainen
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso