A seamless pattern formed from a tile that can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
The following orange background pattern resembles a honeycomb.
Source V. Hartikainen
From a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
A free background pattern with abstract green tiles.
Source V. Hartikainen
Dark, square, clean and tidy. What more can you ask for?
Source Jaromír Kavan
This is so subtle I hope you can see it! Tweak at will.
Source Alexandre Naud
One can never have too few rice paper patterns, so here is one more.
Source Atle Mo
Formed by heavily distorting part of a an image of a fish uploaded to Pixabay by GLady
Source Firkin
One more in the line of patterns inspired by Japanese/Asian styles. Smooth.
Source Kim Ruddock
Pattern produced in Paint.net using the Vibrato plug-in.
Source Firkin
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Abstract Arbitrary Geometric Background derived from an image on Pixabay.
Source GDJ
This is lovely, just the right amount of subtle noise, lines and textures.
Source Richard Tabor
Can’t believe we don’t have this in the collection already! Slick woven pattern with crisp details.
Source Max Rudberg
One of the few full-color patterns here, but this one was just too good to pass up.
Source Alexey Usoltsev
A subtle shadowed checkered pattern. Increase the lightness for even more subtle sexiness.
Source Josh Green
Prismatic Hexagonalism Pattern No Background
Source GDJ
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Might not be super subtle, but quite original in its form.
Source Alex Smith
From a drawing in 'Prose and Verse ', William Linton, 1836.
Source Firkin
More in the paper realm, this time with fibers.
Source Jorge Fuentes
Very dark pattern with some noise and 45-degree lines.
Source Stefan Aleksić