A seamless pale yellow paper background with a pattern of animal tracks.
Source V. Hartikainen
A seamless pattern based on a square tile that can be retrieved in Inkscape by selecting the rectangle and using shift-alt-i.
Source Firkin
The classic subtle pattern. Sort of wall/brick looking. Or moon-looking?
Source Joel Klein
Luxurious looking pattern (for a T-shirt maybe?) with a hint of green.
Source Simon Meek
Not strictly seamless in that opposite edges are not identical. But they do marry up to make an interesting pattern
Source Firkin
A version without colours blended together to give a different look.
Source Firkin
Continuing the geometric trend, here is one more.
Source Mike Warner
A white version of the very popular linen pattern.
Source Ant Ekşiler
Zero CC tileable hard cover red book, scanned and made by me. CC0
Source Sojan Janso
The image depicts meshed silhouettes of various things.The original image is an OCAL clipart called "Enter FOSSASIA 2016 #IoT T-shirt Design Contest" uploaded by "openclipart".Thanks.
Source Yamachem
As the original image 's page size is too large for its image size, I remixed it.
Source Yamachem
A seamless pattern the starting point for which was a 'colour modulo' texture in Paint.net.
Source Firkin
Not the Rebel alliance, but a dark textured pattern.
Source Hendrik Lammers
This one is amazing, truly original. Go use it!
Source Viahorizon
Some rectangles, a bit of dust and grunge, plus a hint of concrete.
Source Atle Mo
One can never have too few rice paper patterns, so here is one more.
Source Atle Mo
Prismatic Abstract Background Design
Source GDJ
A dark gray, sandy pattern with small light dots, and some angled strokes.
Source Atle Mo
A simple circle. That’s all it takes. This one is even transparent, for those who like that.
Source Saqib
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