Here's a subtle marble-like background for use on websites.
Source V. Hartikainen
A pale yellow background pattern with vertical stripes. The stripes are partially faded. I think this background image turned out pretty well, especially those faded stripes.
Source V. Hartikainen
A dark pattern made out of 3×3 circles and a 1px shadow. This works well as a carbon texture or background.
Source Atle Mo
Run a restaurant blog? Here you go. Done.
Source Andrijana Jarnjak
Remixed from a design seen on Pixabay. The basic tile can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
A seamlessly repeating background pattern of wood. The image is procedurally generated, and, I think, it's turned out quite well.
Source V. Hartikainen
A mid-tone gray pattern with some cement looking texture.
Source Hendrik Lammers
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Pattern produced in Paint.net using the Vibrato plug-in.
Source Firkin
A white version of the very popular linen pattern.
Source Ant Ekşiler
Light gray version of the Binding pattern that looks a bit like fabric.
Source Newbury
Floral patterns will never go out of style, so enjoy this one.
Source Lasma
A background tile for web with abstract repeating texture of dark "stone wall".
Source V. Hartikainen
I love the movie Pineapple Express, and I’m also liking this Pineapple right here.
Source Audee Mirza
Prismatic Hexagonalist Pattern No Background
Source GDJ
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
I skipped number 3, because it wasn’t all that great. Sorry.
Source Dima Shiper
Black brick wall pattern. Brick your site up!
Source Alex Parker
Dark blue concrete wall with some small dust spots.
Source Atle Mo