To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
A subtle shadowed checkered pattern. Increase the lightness for even more subtle sexiness.
Source Josh Green
Prismatic Polyskelion Pattern No Background
Source GDJ
Looks like an old rug or a computer chip.
Source Patutin Sergey
Remixed from a drawing in 'A Child of the Age', Francis Adams, 1894.
Source Firkin
Prismatic Curved Diamond Pattern 2 No Background
Source GDJ
A pattern formed from a squared tile. The tile can be accessed in Inkscape by selecting the rectangle and using shift-alt-i.
Source Firkin
I guess this is inspired by the city of Ravenna in Italy and its stone walls.
Source Sentel
The following orange background pattern resembles a honeycomb.
Source V. Hartikainen
Seamless Green Tile Background
Source V. Hartikainen
Formed by distorting the inside front cover of 'Diversæ insectarum volatilium : icones ad vivum accuratissmè depictæ per celeberrimum pictorem', Jacob Hoefnagel, 1630.
Source Firkin
And some more testing, this time with Seamless Studio. It’s Robots FFS!
Source Seamless Studio
This background pattern contains a seamless texture of bark. It's not very realistic, but I think it looks quite nice.
Source V. Hartikainen
This one is so simple, yet so good. And you know it. Has to be in the collection.
Source Gluszczenko
Seamless pattern the tile for which can be had by using shift-alt-I on the selected rectangle in Inkscape.
Source Firkin
A mid-tone gray pattern with some cement looking texture.
Source Hendrik Lammers
This one could be the shirt of a golf player. Angled lines in different thicknesses.
Source Olivier Pineda
Background formed from the original with an emboss effect
Source GDJ
Adapted heavily from a JPG that was uploaded to Pixabay by Viscious-Speed.
Source Firkin
A light gray wall or floor (you decide) of concrete.
Source Atle Mo
Tweed is back in style – you heard it here first. Also, the @2X version here is great!
Source Simon Leo
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
A dark striped seamless pattern suitable for use as a background on websites.
Source V. Hartikainen